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Finding the Fourth Proportional to 242.96, 335.47 and 149.84

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Solution

The fourth proportional to 242.96, 335.47 and 149.84 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 335.47 = 149.84 : x
  2. Step 2: Convert to fraction form
    242.96/335.47 = 149.84/x
  3. Step 3: Cross multiply
    242.96x = 335.47 × 149.84
  4. Step 4: Simplify right side
    242.96x = 50,265.15
  5. Step 5: Solve for x
    x = 50,265.15/242.96
  6. Step 6: Final answer
    x = 206.89

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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.