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Finding the Fourth Proportional to 372.70, 514.26 and 206.86

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Solution

The fourth proportional to 372.70, 514.26 and 206.86 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.70 : 514.26 = 206.86 : x
  2. Step 2: Convert to fraction form
    372.70/514.26 = 206.86/x
  3. Step 3: Cross multiply
    372.70x = 514.26 × 206.86
  4. Step 4: Simplify right side
    372.70x = 106,379.82
  5. Step 5: Solve for x
    x = 106,379.82/372.70
  6. Step 6: Final answer
    x = 285.43

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