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Finding the Fourth Proportional to 243.02, 335.36 and 149.81

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Solution

The fourth proportional to 243.02, 335.36 and 149.81 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.02 : 335.36 = 149.81 : x
  2. Step 2: Convert to fraction form
    243.02/335.36 = 149.81/x
  3. Step 3: Cross multiply
    243.02x = 335.36 × 149.81
  4. Step 4: Simplify right side
    243.02x = 50,238.98
  5. Step 5: Solve for x
    x = 50,238.98/243.02
  6. Step 6: Final answer
    x = 206.73

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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.