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Finding the Fourth Proportional to 294.72, 441.36 and 198.24

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Solution

The fourth proportional to 294.72, 441.36 and 198.24 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 441.36 = 198.24 : x
  2. Step 2: Convert to fraction form
    294.72/441.36 = 198.24/x
  3. Step 3: Cross multiply
    294.72x = 441.36 × 198.24
  4. Step 4: Simplify right side
    294.72x = 87,495.21
  5. Step 5: Solve for x
    x = 87,495.21/294.72
  6. Step 6: Final answer
    x = 296.88

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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.