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Finding the Fourth Proportional to 294.74, 441.88 and 197.28

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Solution

The fourth proportional to 294.74, 441.88 and 197.28 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 441.88 = 197.28 : x
  2. Step 2: Convert to fraction form
    294.74/441.88 = 197.28/x
  3. Step 3: Cross multiply
    294.74x = 441.88 × 197.28
  4. Step 4: Simplify right side
    294.74x = 87,174.09
  5. Step 5: Solve for x
    x = 87,174.09/294.74
  6. Step 6: Final answer
    x = 295.77

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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.