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Finding the Fourth Proportional to 317.06, 475.67 and 111.63

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Solution

The fourth proportional to 317.06, 475.67 and 111.63 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.06 : 475.67 = 111.63 : x
  2. Step 2: Convert to fraction form
    317.06/475.67 = 111.63/x
  3. Step 3: Cross multiply
    317.06x = 475.67 × 111.63
  4. Step 4: Simplify right side
    317.06x = 53,098.43
  5. Step 5: Solve for x
    x = 53,098.43/317.06
  6. Step 6: Final answer
    x = 167.47

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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.