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Finding the Fourth Proportional to 282.09, 422.88 and 179.40

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Solution

The fourth proportional to 282.09, 422.88 and 179.40 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 422.88 = 179.40 : x
  2. Step 2: Convert to fraction form
    282.09/422.88 = 179.40/x
  3. Step 3: Cross multiply
    282.09x = 422.88 × 179.40
  4. Step 4: Simplify right side
    282.09x = 75,865.12
  5. Step 5: Solve for x
    x = 75,865.12/282.09
  6. Step 6: Final answer
    x = 268.94

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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.