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Finding the Fourth Proportional to 294.21, 440.88 and 197.82

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Solution

The fourth proportional to 294.21, 440.88 and 197.82 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.21 : 440.88 = 197.82 : x
  2. Step 2: Convert to fraction form
    294.21/440.88 = 197.82/x
  3. Step 3: Cross multiply
    294.21x = 440.88 × 197.82
  4. Step 4: Simplify right side
    294.21x = 87,214.88
  5. Step 5: Solve for x
    x = 87,214.88/294.21
  6. Step 6: Final answer
    x = 296.44

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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.