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Finding the Fourth Proportional to 269.19, 403.88 and 178.25

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Solution

The fourth proportional to 269.19, 403.88 and 178.25 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.19 : 403.88 = 178.25 : x
  2. Step 2: Convert to fraction form
    269.19/403.88 = 178.25/x
  3. Step 3: Cross multiply
    269.19x = 403.88 × 178.25
  4. Step 4: Simplify right side
    269.19x = 71,988.70
  5. Step 5: Solve for x
    x = 71,988.70/269.19
  6. Step 6: Final answer
    x = 267.43

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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.