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Finding the Fourth Proportional to 242.27, 334.09 and 163.50

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Solution

The fourth proportional to 242.27, 334.09 and 163.50 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 334.09 = 163.50 : x
  2. Step 2: Convert to fraction form
    242.27/334.09 = 163.50/x
  3. Step 3: Cross multiply
    242.27x = 334.09 × 163.50
  4. Step 4: Simplify right side
    242.27x = 54,623.72
  5. Step 5: Solve for x
    x = 54,623.72/242.27
  6. Step 6: Final answer
    x = 225.47

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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.