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Finding the Fourth Proportional to 269.39, 403.82 and 178.13

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Solution

The fourth proportional to 269.39, 403.82 and 178.13 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 403.82 = 178.13 : x
  2. Step 2: Convert to fraction form
    269.39/403.82 = 178.13/x
  3. Step 3: Cross multiply
    269.39x = 403.82 × 178.13
  4. Step 4: Simplify right side
    269.39x = 71,933.24
  5. Step 5: Solve for x
    x = 71,933.24/269.39
  6. Step 6: Final answer
    x = 267.02

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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.