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Finding the Fourth Proportional to 411.08, 616.62 and 179.96

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Solution

The fourth proportional to 411.08, 616.62 and 179.96 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 616.62 = 179.96 : x
  2. Step 2: Convert to fraction form
    411.08/616.62 = 179.96/x
  3. Step 3: Cross multiply
    411.08x = 616.62 × 179.96
  4. Step 4: Simplify right side
    411.08x = 110,966.94
  5. Step 5: Solve for x
    x = 110,966.94/411.08
  6. Step 6: Final answer
    x = 269.94

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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.