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Finding the Fourth Proportional to 281.98, 422.97 and 99.34

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Solution

The fourth proportional to 281.98, 422.97 and 99.34 is: 149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 422.97 = 99.34 : x
  2. Step 2: Convert to fraction form
    281.98/422.97 = 99.34/x
  3. Step 3: Cross multiply
    281.98x = 422.97 × 99.34
  4. Step 4: Simplify right side
    281.98x = 42,015.23
  5. Step 5: Solve for x
    x = 42,015.23/281.98
  6. Step 6: Final answer
    x = 149.00

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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.