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Finding the Fourth Proportional to 282.59, 422.91 and 179.92

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Solution

The fourth proportional to 282.59, 422.91 and 179.92 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 422.91 = 179.92 : x
  2. Step 2: Convert to fraction form
    282.59/422.91 = 179.92/x
  3. Step 3: Cross multiply
    282.59x = 422.91 × 179.92
  4. Step 4: Simplify right side
    282.59x = 76,088.91
  5. Step 5: Solve for x
    x = 76,088.91/282.59
  6. Step 6: Final answer
    x = 269.26

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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.