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Finding the Fourth Proportional to 367.16, 550.97 and 147.76

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Solution

The fourth proportional to 367.16, 550.97 and 147.76 is: 221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 550.97 = 147.76 : x
  2. Step 2: Convert to fraction form
    367.16/550.97 = 147.76/x
  3. Step 3: Cross multiply
    367.16x = 550.97 × 147.76
  4. Step 4: Simplify right side
    367.16x = 81,411.33
  5. Step 5: Solve for x
    x = 81,411.33/367.16
  6. Step 6: Final answer
    x = 221.73

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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.