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Finding the Fourth Proportional to 366.80, 550.10 and 106.74

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Solution

The fourth proportional to 366.80, 550.10 and 106.74 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 550.10 = 106.74 : x
  2. Step 2: Convert to fraction form
    366.80/550.10 = 106.74/x
  3. Step 3: Cross multiply
    366.80x = 550.10 × 106.74
  4. Step 4: Simplify right side
    366.80x = 58,717.67
  5. Step 5: Solve for x
    x = 58,717.67/366.80
  6. Step 6: Final answer
    x = 160.08

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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.