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Finding the Fourth Proportional to 242.48, 334.24 and 163.78

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Solution

The fourth proportional to 242.48, 334.24 and 163.78 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.48 : 334.24 = 163.78 : x
  2. Step 2: Convert to fraction form
    242.48/334.24 = 163.78/x
  3. Step 3: Cross multiply
    242.48x = 334.24 × 163.78
  4. Step 4: Simplify right side
    242.48x = 54,740.58
  5. Step 5: Solve for x
    x = 54,740.58/242.48
  6. Step 6: Final answer
    x = 225.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.