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Finding the Fourth Proportional to 372.61, 514.23 and 206.87

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Solution

The fourth proportional to 372.61, 514.23 and 206.87 is: 285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.61 : 514.23 = 206.87 : x
  2. Step 2: Convert to fraction form
    372.61/514.23 = 206.87/x
  3. Step 3: Cross multiply
    372.61x = 514.23 × 206.87
  4. Step 4: Simplify right side
    372.61x = 106,376.19
  5. Step 5: Solve for x
    x = 106,376.19/372.61
  6. Step 6: Final answer
    x = 285.49

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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.