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Finding the Fourth Proportional to 242.29, 334.13 and 195.63

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Solution

The fourth proportional to 242.29, 334.13 and 195.63 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.29 : 334.13 = 195.63 : x
  2. Step 2: Convert to fraction form
    242.29/334.13 = 195.63/x
  3. Step 3: Cross multiply
    242.29x = 334.13 × 195.63
  4. Step 4: Simplify right side
    242.29x = 65,365.50
  5. Step 5: Solve for x
    x = 65,365.50/242.29
  6. Step 6: Final answer
    x = 269.78

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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.