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Finding the Fourth Proportional to 294.08, 441.60 and 198.08

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Solution

The fourth proportional to 294.08, 441.60 and 198.08 is: 297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.08 : 441.60 = 198.08 : x
  2. Step 2: Convert to fraction form
    294.08/441.60 = 198.08/x
  3. Step 3: Cross multiply
    294.08x = 441.60 × 198.08
  4. Step 4: Simplify right side
    294.08x = 87,472.13
  5. Step 5: Solve for x
    x = 87,472.13/294.08
  6. Step 6: Final answer
    x = 297.44

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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.