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Finding the Fourth Proportional to 342.76, 513.78 and 160

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Solution

The fourth proportional to 342.76, 513.78 and 160 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 513.78 = 160 : x
  2. Step 2: Convert to fraction form
    342.76/513.78 = 160/x
  3. Step 3: Cross multiply
    342.76x = 513.78 × 160
  4. Step 4: Simplify right side
    342.76x = 82,204.80
  5. Step 5: Solve for x
    x = 82,204.80/342.76
  6. Step 6: Final answer
    x = 239.83

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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.