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Finding the Fourth Proportional to 294.78, 406.76 and 176.75

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Solution

The fourth proportional to 294.78, 406.76 and 176.75 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.78 : 406.76 = 176.75 : x
  2. Step 2: Convert to fraction form
    294.78/406.76 = 176.75/x
  3. Step 3: Cross multiply
    294.78x = 406.76 × 176.75
  4. Step 4: Simplify right side
    294.78x = 71,891.91
  5. Step 5: Solve for x
    x = 71,891.91/294.78
  6. Step 6: Final answer
    x = 243.88

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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.