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Finding the Fourth Proportional to 442.16, 663.14 and 168.15

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Solution

The fourth proportional to 442.16, 663.14 and 168.15 is: 252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 663.14 = 168.15 : x
  2. Step 2: Convert to fraction form
    442.16/663.14 = 168.15/x
  3. Step 3: Cross multiply
    442.16x = 663.14 × 168.15
  4. Step 4: Simplify right side
    442.16x = 111,506.99
  5. Step 5: Solve for x
    x = 111,506.99/442.16
  6. Step 6: Final answer
    x = 252.19

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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.