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Finding the Fourth Proportional to 148.19, 221.54 and 132.74

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Solution

The fourth proportional to 148.19, 221.54 and 132.74 is: 198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.19 : 221.54 = 132.74 : x
  2. Step 2: Convert to fraction form
    148.19/221.54 = 132.74/x
  3. Step 3: Cross multiply
    148.19x = 221.54 × 132.74
  4. Step 4: Simplify right side
    148.19x = 29,406.11
  5. Step 5: Solve for x
    x = 29,406.11/148.19
  6. Step 6: Final answer
    x = 198.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.