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Finding the Fourth Proportional to 224.76, 337.32 and 197.22

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Solution

The fourth proportional to 224.76, 337.32 and 197.22 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 337.32 = 197.22 : x
  2. Step 2: Convert to fraction form
    224.76/337.32 = 197.22/x
  3. Step 3: Cross multiply
    224.76x = 337.32 × 197.22
  4. Step 4: Simplify right side
    224.76x = 66,526.25
  5. Step 5: Solve for x
    x = 66,526.25/224.76
  6. Step 6: Final answer
    x = 295.99

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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.