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Finding the Fourth Proportional to 269.01, 401.67 and 239.85

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Solution

The fourth proportional to 269.01, 401.67 and 239.85 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.01 : 401.67 = 239.85 : x
  2. Step 2: Convert to fraction form
    269.01/401.67 = 239.85/x
  3. Step 3: Cross multiply
    269.01x = 401.67 × 239.85
  4. Step 4: Simplify right side
    269.01x = 96,340.55
  5. Step 5: Solve for x
    x = 96,340.55/269.01
  6. Step 6: Final answer
    x = 358.13

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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.