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Finding the Fourth Proportional to 269.70, 404.28 and 147.81

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Solution

The fourth proportional to 269.70, 404.28 and 147.81 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 404.28 = 147.81 : x
  2. Step 2: Convert to fraction form
    269.70/404.28 = 147.81/x
  3. Step 3: Cross multiply
    269.70x = 404.28 × 147.81
  4. Step 4: Simplify right side
    269.70x = 59,756.63
  5. Step 5: Solve for x
    x = 59,756.63/269.70
  6. Step 6: Final answer
    x = 221.57

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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.