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Finding the Fourth Proportional to 372.56, 514.15 and 206.78

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Solution

The fourth proportional to 372.56, 514.15 and 206.78 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.56 : 514.15 = 206.78 : x
  2. Step 2: Convert to fraction form
    372.56/514.15 = 206.78/x
  3. Step 3: Cross multiply
    372.56x = 514.15 × 206.78
  4. Step 4: Simplify right side
    372.56x = 106,314.52
  5. Step 5: Solve for x
    x = 106,314.52/372.56
  6. Step 6: Final answer
    x = 285.36

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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.