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Finding the Fourth Proportional to 366.66, 550.06 and 123.20

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Solution

The fourth proportional to 366.66, 550.06 and 123.20 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.66 : 550.06 = 123.20 : x
  2. Step 2: Convert to fraction form
    366.66/550.06 = 123.20/x
  3. Step 3: Cross multiply
    366.66x = 550.06 × 123.20
  4. Step 4: Simplify right side
    366.66x = 67,767.39
  5. Step 5: Solve for x
    x = 67,767.39/366.66
  6. Step 6: Final answer
    x = 184.82

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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.