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Finding the Fourth Proportional to 269.65, 404.14 and 130.83

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Solution

The fourth proportional to 269.65, 404.14 and 130.83 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 404.14 = 130.83 : x
  2. Step 2: Convert to fraction form
    269.65/404.14 = 130.83/x
  3. Step 3: Cross multiply
    269.65x = 404.14 × 130.83
  4. Step 4: Simplify right side
    269.65x = 52,873.64
  5. Step 5: Solve for x
    x = 52,873.64/269.65
  6. Step 6: Final answer
    x = 196.08

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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.