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Finding the Fourth Proportional to 442.64, 664.12 and 168.79

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Solution

The fourth proportional to 442.64, 664.12 and 168.79 is: 253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 664.12 = 168.79 : x
  2. Step 2: Convert to fraction form
    442.64/664.12 = 168.79/x
  3. Step 3: Cross multiply
    442.64x = 664.12 × 168.79
  4. Step 4: Simplify right side
    442.64x = 112,096.81
  5. Step 5: Solve for x
    x = 112,096.81/442.64
  6. Step 6: Final answer
    x = 253.25

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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.