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Finding the Fourth Proportional to 317.05, 475.62 and 111.64

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Solution

The fourth proportional to 317.05, 475.62 and 111.64 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 475.62 = 111.64 : x
  2. Step 2: Convert to fraction form
    317.05/475.62 = 111.64/x
  3. Step 3: Cross multiply
    317.05x = 475.62 × 111.64
  4. Step 4: Simplify right side
    317.05x = 53,098.22
  5. Step 5: Solve for x
    x = 53,098.22/317.05
  6. Step 6: Final answer
    x = 167.48

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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.