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Finding the Fourth Proportional to 269.52, 405.03 and 166.86

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Solution

The fourth proportional to 269.52, 405.03 and 166.86 is: 250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 405.03 = 166.86 : x
  2. Step 2: Convert to fraction form
    269.52/405.03 = 166.86/x
  3. Step 3: Cross multiply
    269.52x = 405.03 × 166.86
  4. Step 4: Simplify right side
    269.52x = 67,583.31
  5. Step 5: Solve for x
    x = 67,583.31/269.52
  6. Step 6: Final answer
    x = 250.75

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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.