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Finding the Fourth Proportional to 367.12, 550.14 and 204.76

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Solution

The fourth proportional to 367.12, 550.14 and 204.76 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 550.14 = 204.76 : x
  2. Step 2: Convert to fraction form
    367.12/550.14 = 204.76/x
  3. Step 3: Cross multiply
    367.12x = 550.14 × 204.76
  4. Step 4: Simplify right side
    367.12x = 112,646.67
  5. Step 5: Solve for x
    x = 112,646.67/367.12
  6. Step 6: Final answer
    x = 306.84

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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.