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Finding the Fourth Proportional to 317.96, 477.22 and 171.82

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Solution

The fourth proportional to 317.96, 477.22 and 171.82 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.96 : 477.22 = 171.82 : x
  2. Step 2: Convert to fraction form
    317.96/477.22 = 171.82/x
  3. Step 3: Cross multiply
    317.96x = 477.22 × 171.82
  4. Step 4: Simplify right side
    317.96x = 81,995.94
  5. Step 5: Solve for x
    x = 81,995.94/317.96
  6. Step 6: Final answer
    x = 257.88

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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.