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Finding the Fourth Proportional to 281.61, 422.61 and 99.01

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Solution

The fourth proportional to 281.61, 422.61 and 99.01 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 422.61 = 99.01 : x
  2. Step 2: Convert to fraction form
    281.61/422.61 = 99.01/x
  3. Step 3: Cross multiply
    281.61x = 422.61 × 99.01
  4. Step 4: Simplify right side
    281.61x = 41,842.62
  5. Step 5: Solve for x
    x = 41,842.62/281.61
  6. Step 6: Final answer
    x = 148.58

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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.