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Finding the Fourth Proportional to 372.64, 514.21 and 206.84

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Solution

The fourth proportional to 372.64, 514.21 and 206.84 is: 285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.64 : 514.21 = 206.84 : x
  2. Step 2: Convert to fraction form
    372.64/514.21 = 206.84/x
  3. Step 3: Cross multiply
    372.64x = 514.21 × 206.84
  4. Step 4: Simplify right side
    372.64x = 106,358.49
  5. Step 5: Solve for x
    x = 106,358.49/372.64
  6. Step 6: Final answer
    x = 285.42

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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.