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Finding the Fourth Proportional to 317.34, 475.98 and 111.87

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Solution

The fourth proportional to 317.34, 475.98 and 111.87 is: 167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.34 : 475.98 = 111.87 : x
  2. Step 2: Convert to fraction form
    317.34/475.98 = 111.87/x
  3. Step 3: Cross multiply
    317.34x = 475.98 × 111.87
  4. Step 4: Simplify right side
    317.34x = 53,247.88
  5. Step 5: Solve for x
    x = 53,247.88/317.34
  6. Step 6: Final answer
    x = 167.79

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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.