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Finding the Fourth Proportional to 367.92, 552.27 and 151.65

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Solution

The fourth proportional to 367.92, 552.27 and 151.65 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.92 : 552.27 = 151.65 : x
  2. Step 2: Convert to fraction form
    367.92/552.27 = 151.65/x
  3. Step 3: Cross multiply
    367.92x = 552.27 × 151.65
  4. Step 4: Simplify right side
    367.92x = 83,751.75
  5. Step 5: Solve for x
    x = 83,751.75/367.92
  6. Step 6: Final answer
    x = 227.64

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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.