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Finding the Fourth Proportional to 367.48, 550.75 and 184.92

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Solution

The fourth proportional to 367.48, 550.75 and 184.92 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.48 : 550.75 = 184.92 : x
  2. Step 2: Convert to fraction form
    367.48/550.75 = 184.92/x
  3. Step 3: Cross multiply
    367.48x = 550.75 × 184.92
  4. Step 4: Simplify right side
    367.48x = 101,844.69
  5. Step 5: Solve for x
    x = 101,844.69/367.48
  6. Step 6: Final answer
    x = 277.14

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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.