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Finding the Fourth Proportional to 372.68, 514.27 and 206.90

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Solution

The fourth proportional to 372.68, 514.27 and 206.90 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.68 : 514.27 = 206.90 : x
  2. Step 2: Convert to fraction form
    372.68/514.27 = 206.90/x
  3. Step 3: Cross multiply
    372.68x = 514.27 × 206.90
  4. Step 4: Simplify right side
    372.68x = 106,399.37
  5. Step 5: Solve for x
    x = 106,399.37/372.68
  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.