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Finding the Fourth Proportional to 281.57, 422.13 and 135.24

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Solution

The fourth proportional to 281.57, 422.13 and 135.24 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.57 : 422.13 = 135.24 : x
  2. Step 2: Convert to fraction form
    281.57/422.13 = 135.24/x
  3. Step 3: Cross multiply
    281.57x = 422.13 × 135.24
  4. Step 4: Simplify right side
    281.57x = 57,088.86
  5. Step 5: Solve for x
    x = 57,088.86/281.57
  6. Step 6: Final answer
    x = 202.76

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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.