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Finding the Fourth Proportional to 147.28, 221.80 and 111.46

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Solution

The fourth proportional to 147.28, 221.80 and 111.46 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 221.80 = 111.46 : x
  2. Step 2: Convert to fraction form
    147.28/221.80 = 111.46/x
  3. Step 3: Cross multiply
    147.28x = 221.80 × 111.46
  4. Step 4: Simplify right side
    147.28x = 24,721.83
  5. Step 5: Solve for x
    x = 24,721.83/147.28
  6. Step 6: Final answer
    x = 167.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.