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Finding the Fourth Proportional to 294.78, 406.89 and 178.41

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Solution

The fourth proportional to 294.78, 406.89 and 178.41 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.78 : 406.89 = 178.41 : x
  2. Step 2: Convert to fraction form
    294.78/406.89 = 178.41/x
  3. Step 3: Cross multiply
    294.78x = 406.89 × 178.41
  4. Step 4: Simplify right side
    294.78x = 72,593.24
  5. Step 5: Solve for x
    x = 72,593.24/294.78
  6. Step 6: Final answer
    x = 246.26

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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.