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Finding the Fourth Proportional to 486.82, 729.90 and 198

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Solution

The fourth proportional to 486.82, 729.90 and 198 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.82 : 729.90 = 198 : x
  2. Step 2: Convert to fraction form
    486.82/729.90 = 198/x
  3. Step 3: Cross multiply
    486.82x = 729.90 × 198
  4. Step 4: Simplify right side
    486.82x = 144,520.20
  5. Step 5: Solve for x
    x = 144,520.20/486.82
  6. Step 6: Final answer
    x = 296.87

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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.