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Finding the Fourth Proportional to 243.62, 336.11 and 149.06

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Solution

The fourth proportional to 243.62, 336.11 and 149.06 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.62 : 336.11 = 149.06 : x
  2. Step 2: Convert to fraction form
    243.62/336.11 = 149.06/x
  3. Step 3: Cross multiply
    243.62x = 336.11 × 149.06
  4. Step 4: Simplify right side
    243.62x = 50,099.88
  5. Step 5: Solve for x
    x = 50,099.88/243.62
  6. Step 6: Final answer
    x = 205.65

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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.