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Finding the Fourth Proportional to 411.78, 617.67 and 123.22

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Solution

The fourth proportional to 411.78, 617.67 and 123.22 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 617.67 = 123.22 : x
  2. Step 2: Convert to fraction form
    411.78/617.67 = 123.22/x
  3. Step 3: Cross multiply
    411.78x = 617.67 × 123.22
  4. Step 4: Simplify right side
    411.78x = 76,108.83
  5. Step 5: Solve for x
    x = 76,108.83/411.78
  6. Step 6: Final answer
    x = 184.83

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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.