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Finding the Fourth Proportional to 317.52, 475.74 and 225.75

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Solution

The fourth proportional to 317.52, 475.74 and 225.75 is: 338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 475.74 = 225.75 : x
  2. Step 2: Convert to fraction form
    317.52/475.74 = 225.75/x
  3. Step 3: Cross multiply
    317.52x = 475.74 × 225.75
  4. Step 4: Simplify right side
    317.52x = 107,400.09
  5. Step 5: Solve for x
    x = 107,400.09/317.52
  6. Step 6: Final answer
    x = 338.25

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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.