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Finding the Fourth Proportional to 242.91, 335.16 and 149.76

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Solution

The fourth proportional to 242.91, 335.16 and 149.76 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.91 : 335.16 = 149.76 : x
  2. Step 2: Convert to fraction form
    242.91/335.16 = 149.76/x
  3. Step 3: Cross multiply
    242.91x = 335.16 × 149.76
  4. Step 4: Simplify right side
    242.91x = 50,193.56
  5. Step 5: Solve for x
    x = 50,193.56/242.91
  6. Step 6: Final answer
    x = 206.63

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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.