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Finding the Fourth Proportional to 281.41, 422.13 and 108.16

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Solution

The fourth proportional to 281.41, 422.13 and 108.16 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 422.13 = 108.16 : x
  2. Step 2: Convert to fraction form
    281.41/422.13 = 108.16/x
  3. Step 3: Cross multiply
    281.41x = 422.13 × 108.16
  4. Step 4: Simplify right side
    281.41x = 45,655.47
  5. Step 5: Solve for x
    x = 45,655.47/281.41
  6. Step 6: Final answer
    x = 162.24

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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.