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Finding the Fourth Proportional to 342, 513.24 and 171

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Solution

The fourth proportional to 342, 513.24 and 171 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 513.24 = 171 : x
  2. Step 2: Convert to fraction form
    342/513.24 = 171/x
  3. Step 3: Cross multiply
    342x = 513.24 × 171
  4. Step 4: Simplify right side
    342x = 87,764.04
  5. Step 5: Solve for x
    x = 87,764.04/342
  6. Step 6: Final answer
    x = 256.62

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Find fourth proportional to 171, 256.62 and 85.50
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.