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Finding the Fourth Proportional to 148.44, 204.94 and 132.87

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Solution

The fourth proportional to 148.44, 204.94 and 132.87 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.44 : 204.94 = 132.87 : x
  2. Step 2: Convert to fraction form
    148.44/204.94 = 132.87/x
  3. Step 3: Cross multiply
    148.44x = 204.94 × 132.87
  4. Step 4: Simplify right side
    148.44x = 27,229.11
  5. Step 5: Solve for x
    x = 27,229.11/148.44
  6. Step 6: Final answer
    x = 183.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.