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Finding the Fourth Proportional to 148.71, 223.46 and 80.28

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Solution

The fourth proportional to 148.71, 223.46 and 80.28 is: 120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.71 : 223.46 = 80.28 : x
  2. Step 2: Convert to fraction form
    148.71/223.46 = 80.28/x
  3. Step 3: Cross multiply
    148.71x = 223.46 × 80.28
  4. Step 4: Simplify right side
    148.71x = 17,939.57
  5. Step 5: Solve for x
    x = 17,939.57/148.71
  6. Step 6: Final answer
    x = 120.63

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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.