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Finding the Fourth Proportional to 307.31, 460.96 and 171.22

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Solution

The fourth proportional to 307.31, 460.96 and 171.22 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 460.96 = 171.22 : x
  2. Step 2: Convert to fraction form
    307.31/460.96 = 171.22/x
  3. Step 3: Cross multiply
    307.31x = 460.96 × 171.22
  4. Step 4: Simplify right side
    307.31x = 78,924.52
  5. Step 5: Solve for x
    x = 78,924.52/307.31
  6. Step 6: Final answer
    x = 256.83

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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.