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Finding the Fourth Proportional to 367.96, 552.02 and 159.81

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Solution

The fourth proportional to 367.96, 552.02 and 159.81 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.96 : 552.02 = 159.81 : x
  2. Step 2: Convert to fraction form
    367.96/552.02 = 159.81/x
  3. Step 3: Cross multiply
    367.96x = 552.02 × 159.81
  4. Step 4: Simplify right side
    367.96x = 88,220.10
  5. Step 5: Solve for x
    x = 88,220.10/367.96
  6. Step 6: Final answer
    x = 239.76

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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.