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Finding the Fourth Proportional to 224.30, 310.03 and 197.89

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Solution

The fourth proportional to 224.30, 310.03 and 197.89 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.30 : 310.03 = 197.89 : x
  2. Step 2: Convert to fraction form
    224.30/310.03 = 197.89/x
  3. Step 3: Cross multiply
    224.30x = 310.03 × 197.89
  4. Step 4: Simplify right side
    224.30x = 61,350.57
  5. Step 5: Solve for x
    x = 61,350.57/224.30
  6. Step 6: Final answer
    x = 273.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.