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Finding the Fourth Proportional to 281.86, 422.82 and 96.69

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Solution

The fourth proportional to 281.86, 422.82 and 96.69 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.86 : 422.82 = 96.69 : x
  2. Step 2: Convert to fraction form
    281.86/422.82 = 96.69/x
  3. Step 3: Cross multiply
    281.86x = 422.82 × 96.69
  4. Step 4: Simplify right side
    281.86x = 40,882.47
  5. Step 5: Solve for x
    x = 40,882.47/281.86
  6. Step 6: Final answer
    x = 145.05

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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.