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Finding the Fourth Proportional to 312.64, 468.56 and 168.16

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Solution

The fourth proportional to 312.64, 468.56 and 168.16 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 468.56 = 168.16 : x
  2. Step 2: Convert to fraction form
    312.64/468.56 = 168.16/x
  3. Step 3: Cross multiply
    312.64x = 468.56 × 168.16
  4. Step 4: Simplify right side
    312.64x = 78,793.05
  5. Step 5: Solve for x
    x = 78,793.05/312.64
  6. Step 6: Final answer
    x = 252.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.