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Finding the Fourth Proportional to 204.72, 306.82 and 89.22

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Solution

The fourth proportional to 204.72, 306.82 and 89.22 is: 133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 306.82 = 89.22 : x
  2. Step 2: Convert to fraction form
    204.72/306.82 = 89.22/x
  3. Step 3: Cross multiply
    204.72x = 306.82 × 89.22
  4. Step 4: Simplify right side
    204.72x = 27,374.48
  5. Step 5: Solve for x
    x = 27,374.48/204.72
  6. Step 6: Final answer
    x = 133.72

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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.