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Finding the Fourth Proportional to 269.99, 404.61 and 167.32

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Solution

The fourth proportional to 269.99, 404.61 and 167.32 is: 250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.99 : 404.61 = 167.32 : x
  2. Step 2: Convert to fraction form
    269.99/404.61 = 167.32/x
  3. Step 3: Cross multiply
    269.99x = 404.61 × 167.32
  4. Step 4: Simplify right side
    269.99x = 67,699.35
  5. Step 5: Solve for x
    x = 67,699.35/269.99
  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.