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Finding the Fourth Proportional to 317.48, 476.24 and 112.12

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Solution

The fourth proportional to 317.48, 476.24 and 112.12 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.48 : 476.24 = 112.12 : x
  2. Step 2: Convert to fraction form
    317.48/476.24 = 112.12/x
  3. Step 3: Cross multiply
    317.48x = 476.24 × 112.12
  4. Step 4: Simplify right side
    317.48x = 53,396.03
  5. Step 5: Solve for x
    x = 53,396.03/317.48
  6. Step 6: Final answer
    x = 168.19

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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.