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Finding the Fourth Proportional to 334.92, 502.41 and 129.54

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Solution

The fourth proportional to 334.92, 502.41 and 129.54 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 502.41 = 129.54 : x
  2. Step 2: Convert to fraction form
    334.92/502.41 = 129.54/x
  3. Step 3: Cross multiply
    334.92x = 502.41 × 129.54
  4. Step 4: Simplify right side
    334.92x = 65,082.19
  5. Step 5: Solve for x
    x = 65,082.19/334.92
  6. Step 6: Final answer
    x = 194.32

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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.