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Finding the Fourth Proportional to 281.30, 422.02 and 88.93

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Solution

The fourth proportional to 281.30, 422.02 and 88.93 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 422.02 = 88.93 : x
  2. Step 2: Convert to fraction form
    281.30/422.02 = 88.93/x
  3. Step 3: Cross multiply
    281.30x = 422.02 × 88.93
  4. Step 4: Simplify right side
    281.30x = 37,529.29
  5. Step 5: Solve for x
    x = 37,529.29/281.30
  6. Step 6: Final answer
    x = 133.41

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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.