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Finding the Fourth Proportional to 367.64, 550.65 and 184.71

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Solution

The fourth proportional to 367.64, 550.65 and 184.71 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 550.65 = 184.71 : x
  2. Step 2: Convert to fraction form
    367.64/550.65 = 184.71/x
  3. Step 3: Cross multiply
    367.64x = 550.65 × 184.71
  4. Step 4: Simplify right side
    367.64x = 101,710.56
  5. Step 5: Solve for x
    x = 101,710.56/367.64
  6. Step 6: Final answer
    x = 276.66

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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.