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Finding the Fourth Proportional to 334.60, 502.14 and 142.28

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Solution

The fourth proportional to 334.60, 502.14 and 142.28 is: 213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 502.14 = 142.28 : x
  2. Step 2: Convert to fraction form
    334.60/502.14 = 142.28/x
  3. Step 3: Cross multiply
    334.60x = 502.14 × 142.28
  4. Step 4: Simplify right side
    334.60x = 71,444.48
  5. Step 5: Solve for x
    x = 71,444.48/334.60
  6. Step 6: Final answer
    x = 213.52

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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.