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Finding the Fourth Proportional to 372.68, 514.30 and 206.88

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Solution

The fourth proportional to 372.68, 514.30 and 206.88 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.68 : 514.30 = 206.88 : x
  2. Step 2: Convert to fraction form
    372.68/514.30 = 206.88/x
  3. Step 3: Cross multiply
    372.68x = 514.30 × 206.88
  4. Step 4: Simplify right side
    372.68x = 106,398.38
  5. Step 5: Solve for x
    x = 106,398.38/372.68
  6. Step 6: Final answer
    x = 285.50

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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.