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Finding the Fourth Proportional to 281.77, 422.86 and 99.31

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Solution

The fourth proportional to 281.77, 422.86 and 99.31 is: 149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 422.86 = 99.31 : x
  2. Step 2: Convert to fraction form
    281.77/422.86 = 99.31/x
  3. Step 3: Cross multiply
    281.77x = 422.86 × 99.31
  4. Step 4: Simplify right side
    281.77x = 41,994.23
  5. Step 5: Solve for x
    x = 41,994.23/281.77
  6. Step 6: Final answer
    x = 149.04

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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.