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Finding the Fourth Proportional to 242.72, 335.27 and 196.26

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Solution

The fourth proportional to 242.72, 335.27 and 196.26 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 335.27 = 196.26 : x
  2. Step 2: Convert to fraction form
    242.72/335.27 = 196.26/x
  3. Step 3: Cross multiply
    242.72x = 335.27 × 196.26
  4. Step 4: Simplify right side
    242.72x = 65,799.11
  5. Step 5: Solve for x
    x = 65,799.11/242.72
  6. Step 6: Final answer
    x = 271.10

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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.