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Finding the Fourth Proportional to 317.10, 475.74 and 111.67

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Solution

The fourth proportional to 317.10, 475.74 and 111.67 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 475.74 = 111.67 : x
  2. Step 2: Convert to fraction form
    317.10/475.74 = 111.67/x
  3. Step 3: Cross multiply
    317.10x = 475.74 × 111.67
  4. Step 4: Simplify right side
    317.10x = 53,125.89
  5. Step 5: Solve for x
    x = 53,125.89/317.10
  6. Step 6: Final answer
    x = 167.54

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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.