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Finding the Fourth Proportional to 206.04, 284.40 and 132.40

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Solution

The fourth proportional to 206.04, 284.40 and 132.40 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 284.40 = 132.40 : x
  2. Step 2: Convert to fraction form
    206.04/284.40 = 132.40/x
  3. Step 3: Cross multiply
    206.04x = 284.40 × 132.40
  4. Step 4: Simplify right side
    206.04x = 37,654.56
  5. Step 5: Solve for x
    x = 37,654.56/206.04
  6. Step 6: Final answer
    x = 182.75

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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.