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Finding the Fourth Proportional to 269.70, 404.57 and 96.40

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Solution

The fourth proportional to 269.70, 404.57 and 96.40 is: 144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 404.57 = 96.40 : x
  2. Step 2: Convert to fraction form
    269.70/404.57 = 96.40/x
  3. Step 3: Cross multiply
    269.70x = 404.57 × 96.40
  4. Step 4: Simplify right side
    269.70x = 39,000.55
  5. Step 5: Solve for x
    x = 39,000.55/269.70
  6. Step 6: Final answer
    x = 144.61

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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.