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Finding the Fourth Proportional to 147.73, 221.42 and 118.87

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Solution

The fourth proportional to 147.73, 221.42 and 118.87 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.73 : 221.42 = 118.87 : x
  2. Step 2: Convert to fraction form
    147.73/221.42 = 118.87/x
  3. Step 3: Cross multiply
    147.73x = 221.42 × 118.87
  4. Step 4: Simplify right side
    147.73x = 26,319.60
  5. Step 5: Solve for x
    x = 26,319.60/147.73
  6. Step 6: Final answer
    x = 178.17

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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.