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Finding the Fourth Proportional to 242.78, 364.22 and 112.68

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Solution

The fourth proportional to 242.78, 364.22 and 112.68 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 364.22 = 112.68 : x
  2. Step 2: Convert to fraction form
    242.78/364.22 = 112.68/x
  3. Step 3: Cross multiply
    242.78x = 364.22 × 112.68
  4. Step 4: Simplify right side
    242.78x = 41,039.75
  5. Step 5: Solve for x
    x = 41,039.75/242.78
  6. Step 6: Final answer
    x = 169.04

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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.