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Finding the Fourth Proportional to 342.59, 512.97 and 179.93

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Solution

The fourth proportional to 342.59, 512.97 and 179.93 is: 269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.59 : 512.97 = 179.93 : x
  2. Step 2: Convert to fraction form
    342.59/512.97 = 179.93/x
  3. Step 3: Cross multiply
    342.59x = 512.97 × 179.93
  4. Step 4: Simplify right side
    342.59x = 92,298.69
  5. Step 5: Solve for x
    x = 92,298.69/342.59
  6. Step 6: Final answer
    x = 269.41

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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.