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Finding the Fourth Proportional to 269.69, 404.14 and 153.77

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Solution

The fourth proportional to 269.69, 404.14 and 153.77 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.69 : 404.14 = 153.77 : x
  2. Step 2: Convert to fraction form
    269.69/404.14 = 153.77/x
  3. Step 3: Cross multiply
    269.69x = 404.14 × 153.77
  4. Step 4: Simplify right side
    269.69x = 62,145.23
  5. Step 5: Solve for x
    x = 62,145.23/269.69
  6. Step 6: Final answer
    x = 230.44

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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.