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Finding the Fourth Proportional to 367.16, 550.52 and 193.40

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Solution

The fourth proportional to 367.16, 550.52 and 193.40 is: 289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 550.52 = 193.40 : x
  2. Step 2: Convert to fraction form
    367.16/550.52 = 193.40/x
  3. Step 3: Cross multiply
    367.16x = 550.52 × 193.40
  4. Step 4: Simplify right side
    367.16x = 106,470.57
  5. Step 5: Solve for x
    x = 106,470.57/367.16
  6. Step 6: Final answer
    x = 289.98

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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.