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Finding the Fourth Proportional to 283.19, 422.12 and 252.18

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Solution

The fourth proportional to 283.19, 422.12 and 252.18 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.19 : 422.12 = 252.18 : x
  2. Step 2: Convert to fraction form
    283.19/422.12 = 252.18/x
  3. Step 3: Cross multiply
    283.19x = 422.12 × 252.18
  4. Step 4: Simplify right side
    283.19x = 106,450.85
  5. Step 5: Solve for x
    x = 106,450.85/283.19
  6. Step 6: Final answer
    x = 375.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.