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Finding the Fourth Proportional to 225, 336.54 and 178.92

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Solution

The fourth proportional to 225, 336.54 and 178.92 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 336.54 = 178.92 : x
  2. Step 2: Convert to fraction form
    225/336.54 = 178.92/x
  3. Step 3: Cross multiply
    225x = 336.54 × 178.92
  4. Step 4: Simplify right side
    225x = 60,213.74
  5. Step 5: Solve for x
    x = 60,213.74/225
  6. Step 6: Final answer
    x = 267.62

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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.