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Finding the Fourth Proportional to 317.23, 475.84 and 97.85

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Solution

The fourth proportional to 317.23, 475.84 and 97.85 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.23 : 475.84 = 97.85 : x
  2. Step 2: Convert to fraction form
    317.23/475.84 = 97.85/x
  3. Step 3: Cross multiply
    317.23x = 475.84 × 97.85
  4. Step 4: Simplify right side
    317.23x = 46,562.26
  5. Step 5: Solve for x
    x = 46,562.26/317.23
  6. Step 6: Final answer
    x = 146.78

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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.