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Finding the Fourth Proportional to 206.40, 285.02 and 132.87

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Solution

The fourth proportional to 206.40, 285.02 and 132.87 is: 183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 285.02 = 132.87 : x
  2. Step 2: Convert to fraction form
    206.40/285.02 = 132.87/x
  3. Step 3: Cross multiply
    206.40x = 285.02 × 132.87
  4. Step 4: Simplify right side
    206.40x = 37,870.61
  5. Step 5: Solve for x
    x = 37,870.61/206.40
  6. Step 6: Final answer
    x = 183.48

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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.