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Finding the Fourth Proportional to 367.16, 550.76 and 116.97

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Solution

The fourth proportional to 367.16, 550.76 and 116.97 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 550.76 = 116.97 : x
  2. Step 2: Convert to fraction form
    367.16/550.76 = 116.97/x
  3. Step 3: Cross multiply
    367.16x = 550.76 × 116.97
  4. Step 4: Simplify right side
    367.16x = 64,422.40
  5. Step 5: Solve for x
    x = 64,422.40/367.16
  6. Step 6: Final answer
    x = 175.46

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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.