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Finding the Fourth Proportional to 334.71, 502.06 and 91.24

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Solution

The fourth proportional to 334.71, 502.06 and 91.24 is: 136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 502.06 = 91.24 : x
  2. Step 2: Convert to fraction form
    334.71/502.06 = 91.24/x
  3. Step 3: Cross multiply
    334.71x = 502.06 × 91.24
  4. Step 4: Simplify right side
    334.71x = 45,805.44
  5. Step 5: Solve for x
    x = 45,805.44/334.71
  6. Step 6: Final answer
    x = 136.85

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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.