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Finding the Fourth Proportional to 242.05, 362.79 and 198.76

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Solution

The fourth proportional to 242.05, 362.79 and 198.76 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 362.79 = 198.76 : x
  2. Step 2: Convert to fraction form
    242.05/362.79 = 198.76/x
  3. Step 3: Cross multiply
    242.05x = 362.79 × 198.76
  4. Step 4: Simplify right side
    242.05x = 72,108.14
  5. Step 5: Solve for x
    x = 72,108.14/242.05
  6. Step 6: Final answer
    x = 297.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.