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Finding the Fourth Proportional to 148.68, 221.52 and 142.44

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Solution

The fourth proportional to 148.68, 221.52 and 142.44 is: 212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 221.52 = 142.44 : x
  2. Step 2: Convert to fraction form
    148.68/221.52 = 142.44/x
  3. Step 3: Cross multiply
    148.68x = 221.52 × 142.44
  4. Step 4: Simplify right side
    148.68x = 31,553.31
  5. Step 5: Solve for x
    x = 31,553.31/148.68
  6. Step 6: Final answer
    x = 212.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.