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Finding the Fourth Proportional to 269.46, 404.34 and 188.40

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Solution

The fourth proportional to 269.46, 404.34 and 188.40 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 404.34 = 188.40 : x
  2. Step 2: Convert to fraction form
    269.46/404.34 = 188.40/x
  3. Step 3: Cross multiply
    269.46x = 404.34 × 188.40
  4. Step 4: Simplify right side
    269.46x = 76,177.66
  5. Step 5: Solve for x
    x = 76,177.66/269.46
  6. Step 6: Final answer
    x = 282.70

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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.