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Finding the Fourth Proportional to 337.50, 505.97 and 142.50

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Solution

The fourth proportional to 337.50, 505.97 and 142.50 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 505.97 = 142.50 : x
  2. Step 2: Convert to fraction form
    337.50/505.97 = 142.50/x
  3. Step 3: Cross multiply
    337.50x = 505.97 × 142.50
  4. Step 4: Simplify right side
    337.50x = 72,099.29
  5. Step 5: Solve for x
    x = 72,099.29/337.50
  6. Step 6: Final answer
    x = 213.62

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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.