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Finding the Fourth Proportional to 486.98, 729.83 and 198.26

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Solution

The fourth proportional to 486.98, 729.83 and 198.26 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 729.83 = 198.26 : x
  2. Step 2: Convert to fraction form
    486.98/729.83 = 198.26/x
  3. Step 3: Cross multiply
    486.98x = 729.83 × 198.26
  4. Step 4: Simplify right side
    486.98x = 144,696.10
  5. Step 5: Solve for x
    x = 144,696.10/486.98
  6. Step 6: Final answer
    x = 297.13

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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.