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Finding the Fourth Proportional to 317.12, 475.13 and 195.12

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Solution

The fourth proportional to 317.12, 475.13 and 195.12 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.12 : 475.13 = 195.12 : x
  2. Step 2: Convert to fraction form
    317.12/475.13 = 195.12/x
  3. Step 3: Cross multiply
    317.12x = 475.13 × 195.12
  4. Step 4: Simplify right side
    317.12x = 92,706.39
  5. Step 5: Solve for x
    x = 92,706.39/317.12
  6. Step 6: Final answer
    x = 292.34

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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.