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Finding the Fourth Proportional to 282.16, 422.35 and 179.08

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Solution

The fourth proportional to 282.16, 422.35 and 179.08 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.16 : 422.35 = 179.08 : x
  2. Step 2: Convert to fraction form
    282.16/422.35 = 179.08/x
  3. Step 3: Cross multiply
    282.16x = 422.35 × 179.08
  4. Step 4: Simplify right side
    282.16x = 75,634.44
  5. Step 5: Solve for x
    x = 75,634.44/282.16
  6. Step 6: Final answer
    x = 268.06

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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.