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Finding the Fourth Proportional to 334.68, 502.06 and 142.26

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Solution

The fourth proportional to 334.68, 502.06 and 142.26 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 502.06 = 142.26 : x
  2. Step 2: Convert to fraction form
    334.68/502.06 = 142.26/x
  3. Step 3: Cross multiply
    334.68x = 502.06 × 142.26
  4. Step 4: Simplify right side
    334.68x = 71,423.06
  5. Step 5: Solve for x
    x = 71,423.06/334.68
  6. Step 6: Final answer
    x = 213.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.