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Finding the Fourth Proportional to 282.39, 422.73 and 179.33

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Solution

The fourth proportional to 282.39, 422.73 and 179.33 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 422.73 = 179.33 : x
  2. Step 2: Convert to fraction form
    282.39/422.73 = 179.33/x
  3. Step 3: Cross multiply
    282.39x = 422.73 × 179.33
  4. Step 4: Simplify right side
    282.39x = 75,808.17
  5. Step 5: Solve for x
    x = 75,808.17/282.39
  6. Step 6: Final answer
    x = 268.45

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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.