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Finding the Fourth Proportional to 422.66, 634 and 130.16

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Solution

The fourth proportional to 422.66, 634 and 130.16 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 634 = 130.16 : x
  2. Step 2: Convert to fraction form
    422.66/634 = 130.16/x
  3. Step 3: Cross multiply
    422.66x = 634 × 130.16
  4. Step 4: Simplify right side
    422.66x = 82,521.44
  5. Step 5: Solve for x
    x = 82,521.44/422.66
  6. Step 6: Final answer
    x = 195.24

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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.