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Finding the Fourth Proportional to 317.46, 475.92 and 111.90

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Solution

The fourth proportional to 317.46, 475.92 and 111.90 is: 167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 475.92 = 111.90 : x
  2. Step 2: Convert to fraction form
    317.46/475.92 = 111.90/x
  3. Step 3: Cross multiply
    317.46x = 475.92 × 111.90
  4. Step 4: Simplify right side
    317.46x = 53,255.45
  5. Step 5: Solve for x
    x = 53,255.45/317.46
  6. Step 6: Final answer
    x = 167.75

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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.