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Finding the Fourth Proportional to 293.61, 440.96 and 197.49

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Solution

The fourth proportional to 293.61, 440.96 and 197.49 is: 296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 440.96 = 197.49 : x
  2. Step 2: Convert to fraction form
    293.61/440.96 = 197.49/x
  3. Step 3: Cross multiply
    293.61x = 440.96 × 197.49
  4. Step 4: Simplify right side
    293.61x = 87,084.20
  5. Step 5: Solve for x
    x = 87,084.20/293.61
  6. Step 6: Final answer
    x = 296.60

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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.