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Finding the Fourth Proportional to 294.28, 406.11 and 177.88

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Solution

The fourth proportional to 294.28, 406.11 and 177.88 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.28 : 406.11 = 177.88 : x
  2. Step 2: Convert to fraction form
    294.28/406.11 = 177.88/x
  3. Step 3: Cross multiply
    294.28x = 406.11 × 177.88
  4. Step 4: Simplify right side
    294.28x = 72,238.85
  5. Step 5: Solve for x
    x = 72,238.85/294.28
  6. Step 6: Final answer
    x = 245.48

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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.