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Finding the Fourth Proportional to 281.78, 422.67 and 178.75

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Solution

The fourth proportional to 281.78, 422.67 and 178.75 is: 268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 422.67 = 178.75 : x
  2. Step 2: Convert to fraction form
    281.78/422.67 = 178.75/x
  3. Step 3: Cross multiply
    281.78x = 422.67 × 178.75
  4. Step 4: Simplify right side
    281.78x = 75,552.26
  5. Step 5: Solve for x
    x = 75,552.26/281.78
  6. Step 6: Final answer
    x = 268.13

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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.