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Finding the Fourth Proportional to 224.84, 335.35 and 197.48

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Solution

The fourth proportional to 224.84, 335.35 and 197.48 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.84 : 335.35 = 197.48 : x
  2. Step 2: Convert to fraction form
    224.84/335.35 = 197.48/x
  3. Step 3: Cross multiply
    224.84x = 335.35 × 197.48
  4. Step 4: Simplify right side
    224.84x = 66,224.92
  5. Step 5: Solve for x
    x = 66,224.92/224.84
  6. Step 6: Final answer
    x = 294.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.