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Finding the Fourth Proportional to 269.92, 404.63 and 105.50

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Solution

The fourth proportional to 269.92, 404.63 and 105.50 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.92 : 404.63 = 105.50 : x
  2. Step 2: Convert to fraction form
    269.92/404.63 = 105.50/x
  3. Step 3: Cross multiply
    269.92x = 404.63 × 105.50
  4. Step 4: Simplify right side
    269.92x = 42,685.91
  5. Step 5: Solve for x
    x = 42,685.91/269.92
  6. Step 6: Final answer
    x = 158.14

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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.