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Finding the Fourth Proportional to 242.82, 330.61 and 242.05

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Solution

The fourth proportional to 242.82, 330.61 and 242.05 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.82 : 330.61 = 242.05 : x
  2. Step 2: Convert to fraction form
    242.82/330.61 = 242.05/x
  3. Step 3: Cross multiply
    242.82x = 330.61 × 242.05
  4. Step 4: Simplify right side
    242.82x = 80,023.79
  5. Step 5: Solve for x
    x = 80,023.79/242.82
  6. Step 6: Final answer
    x = 329.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.