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Finding the Fourth Proportional to 148.47, 223.11 and 129.66

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Solution

The fourth proportional to 148.47, 223.11 and 129.66 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.47 : 223.11 = 129.66 : x
  2. Step 2: Convert to fraction form
    148.47/223.11 = 129.66/x
  3. Step 3: Cross multiply
    148.47x = 223.11 × 129.66
  4. Step 4: Simplify right side
    148.47x = 28,928.44
  5. Step 5: Solve for x
    x = 28,928.44/148.47
  6. Step 6: Final answer
    x = 194.84

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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.