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Finding the Fourth Proportional to 411, 616.68 and 154.68

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Solution

The fourth proportional to 411, 616.68 and 154.68 is: 232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 616.68 = 154.68 : x
  2. Step 2: Convert to fraction form
    411/616.68 = 154.68/x
  3. Step 3: Cross multiply
    411x = 616.68 × 154.68
  4. Step 4: Simplify right side
    411x = 95,388.06
  5. Step 5: Solve for x
    x = 95,388.06/411
  6. Step 6: Final answer
    x = 232.09

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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.