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Finding the Fourth Proportional to 224, 308.78 and 192.75

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Solution

The fourth proportional to 224, 308.78 and 192.75 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 308.78 = 192.75 : x
  2. Step 2: Convert to fraction form
    224/308.78 = 192.75/x
  3. Step 3: Cross multiply
    224x = 308.78 × 192.75
  4. Step 4: Simplify right side
    224x = 59,517.35
  5. Step 5: Solve for x
    x = 59,517.35/224
  6. Step 6: Final answer
    x = 265.70

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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.