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Finding the Fourth Proportional to 269.20, 403.80 and 147.52

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Solution

The fourth proportional to 269.20, 403.80 and 147.52 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 403.80 = 147.52 : x
  2. Step 2: Convert to fraction form
    269.20/403.80 = 147.52/x
  3. Step 3: Cross multiply
    269.20x = 403.80 × 147.52
  4. Step 4: Simplify right side
    269.20x = 59,568.58
  5. Step 5: Solve for x
    x = 59,568.58/269.20
  6. Step 6: Final answer
    x = 221.28

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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.