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Finding the Fourth Proportional to 411.00, 616.26 and 167.24

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Solution

The fourth proportional to 411.00, 616.26 and 167.24 is: 250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.00 : 616.26 = 167.24 : x
  2. Step 2: Convert to fraction form
    411.00/616.26 = 167.24/x
  3. Step 3: Cross multiply
    411.00x = 616.26 × 167.24
  4. Step 4: Simplify right side
    411.00x = 103,060.24
  5. Step 5: Solve for x
    x = 103,060.24/411.00
  6. Step 6: Final answer
    x = 250.76

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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.