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Finding the Fourth Proportional to 315.10, 471.63 and 168.65

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Solution

The fourth proportional to 315.10, 471.63 and 168.65 is: 252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 471.63 = 168.65 : x
  2. Step 2: Convert to fraction form
    315.10/471.63 = 168.65/x
  3. Step 3: Cross multiply
    315.10x = 471.63 × 168.65
  4. Step 4: Simplify right side
    315.10x = 79,540.44
  5. Step 5: Solve for x
    x = 79,540.44/315.10
  6. Step 6: Final answer
    x = 252.43

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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.