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Finding the Fourth Proportional to 317.80, 476.38 and 112.24

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Solution

The fourth proportional to 317.80, 476.38 and 112.24 is: 168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 476.38 = 112.24 : x
  2. Step 2: Convert to fraction form
    317.80/476.38 = 112.24/x
  3. Step 3: Cross multiply
    317.80x = 476.38 × 112.24
  4. Step 4: Simplify right side
    317.80x = 53,468.89
  5. Step 5: Solve for x
    x = 53,468.89/317.80
  6. Step 6: Final answer
    x = 168.25

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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.