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Finding the Fourth Proportional to 204.69, 306.42 and 132.40

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Solution

The fourth proportional to 204.69, 306.42 and 132.40 is: 198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.69 : 306.42 = 132.40 : x
  2. Step 2: Convert to fraction form
    204.69/306.42 = 132.40/x
  3. Step 3: Cross multiply
    204.69x = 306.42 × 132.40
  4. Step 4: Simplify right side
    204.69x = 40,570.01
  5. Step 5: Solve for x
    x = 40,570.01/204.69
  6. Step 6: Final answer
    x = 198.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.