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Finding the Fourth Proportional to 372.49, 514.01 and 206.69

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Solution

The fourth proportional to 372.49, 514.01 and 206.69 is: 285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.49 : 514.01 = 206.69 : x
  2. Step 2: Convert to fraction form
    372.49/514.01 = 206.69/x
  3. Step 3: Cross multiply
    372.49x = 514.01 × 206.69
  4. Step 4: Simplify right side
    372.49x = 106,239.97
  5. Step 5: Solve for x
    x = 106,239.97/372.49
  6. Step 6: Final answer
    x = 285.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.