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Finding the Fourth Proportional to 309.31, 462.95 and 170.27

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Solution

The fourth proportional to 309.31, 462.95 and 170.27 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 462.95 = 170.27 : x
  2. Step 2: Convert to fraction form
    309.31/462.95 = 170.27/x
  3. Step 3: Cross multiply
    309.31x = 462.95 × 170.27
  4. Step 4: Simplify right side
    309.31x = 78,826.50
  5. Step 5: Solve for x
    x = 78,826.50/309.31
  6. Step 6: Final answer
    x = 254.85

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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.