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Finding the Fourth Proportional to 281.65, 422.46 and 99.05

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Solution

The fourth proportional to 281.65, 422.46 and 99.05 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 422.46 = 99.05 : x
  2. Step 2: Convert to fraction form
    281.65/422.46 = 99.05/x
  3. Step 3: Cross multiply
    281.65x = 422.46 × 99.05
  4. Step 4: Simplify right side
    281.65x = 41,842.55
  5. Step 5: Solve for x
    x = 41,842.55/281.65
  6. Step 6: Final answer
    x = 148.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.