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Finding the Fourth Proportional to 243.10, 335.34 and 154.42

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Solution

The fourth proportional to 243.10, 335.34 and 154.42 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.10 : 335.34 = 154.42 : x
  2. Step 2: Convert to fraction form
    243.10/335.34 = 154.42/x
  3. Step 3: Cross multiply
    243.10x = 335.34 × 154.42
  4. Step 4: Simplify right side
    243.10x = 51,781.53
  5. Step 5: Solve for x
    x = 51,781.53/243.10
  6. Step 6: Final answer
    x = 213.01

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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.