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Finding the Fourth Proportional to 411.25, 616.90 and 118.72

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Solution

The fourth proportional to 411.25, 616.90 and 118.72 is: 178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.25 : 616.90 = 118.72 : x
  2. Step 2: Convert to fraction form
    411.25/616.90 = 118.72/x
  3. Step 3: Cross multiply
    411.25x = 616.90 × 118.72
  4. Step 4: Simplify right side
    411.25x = 73,236.53
  5. Step 5: Solve for x
    x = 73,236.53/411.25
  6. Step 6: Final answer
    x = 178.08

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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.