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Finding the Fourth Proportional to 148.92, 223.12 and 120.22

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Solution

The fourth proportional to 148.92, 223.12 and 120.22 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 223.12 = 120.22 : x
  2. Step 2: Convert to fraction form
    148.92/223.12 = 120.22/x
  3. Step 3: Cross multiply
    148.92x = 223.12 × 120.22
  4. Step 4: Simplify right side
    148.92x = 26,823.49
  5. Step 5: Solve for x
    x = 26,823.49/148.92
  6. Step 6: Final answer
    x = 180.12

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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.