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Finding the Fourth Proportional to 148.47, 222.24 and 114.14

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Solution

The fourth proportional to 148.47, 222.24 and 114.14 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.47 : 222.24 = 114.14 : x
  2. Step 2: Convert to fraction form
    148.47/222.24 = 114.14/x
  3. Step 3: Cross multiply
    148.47x = 222.24 × 114.14
  4. Step 4: Simplify right side
    148.47x = 25,367.46
  5. Step 5: Solve for x
    x = 25,367.46/148.47
  6. Step 6: Final answer
    x = 170.86

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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.