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Finding the Fourth Proportional to 148.81, 223.21 and 129.49

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Solution

The fourth proportional to 148.81, 223.21 and 129.49 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.81 : 223.21 = 129.49 : x
  2. Step 2: Convert to fraction form
    148.81/223.21 = 129.49/x
  3. Step 3: Cross multiply
    148.81x = 223.21 × 129.49
  4. Step 4: Simplify right side
    148.81x = 28,902.02
  5. Step 5: Solve for x
    x = 28,902.02/148.81
  6. Step 6: Final answer
    x = 194.23

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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.