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Finding the Fourth Proportional to 411.08, 616.86 and 180.08

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Solution

The fourth proportional to 411.08, 616.86 and 180.08 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 616.86 = 180.08 : x
  2. Step 2: Convert to fraction form
    411.08/616.86 = 180.08/x
  3. Step 3: Cross multiply
    411.08x = 616.86 × 180.08
  4. Step 4: Simplify right side
    411.08x = 111,084.15
  5. Step 5: Solve for x
    x = 111,084.15/411.08
  6. Step 6: Final answer
    x = 270.23

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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.