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Finding the Fourth Proportional to 294.69, 406.74 and 178.26

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Solution

The fourth proportional to 294.69, 406.74 and 178.26 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 406.74 = 178.26 : x
  2. Step 2: Convert to fraction form
    294.69/406.74 = 178.26/x
  3. Step 3: Cross multiply
    294.69x = 406.74 × 178.26
  4. Step 4: Simplify right side
    294.69x = 72,505.47
  5. Step 5: Solve for x
    x = 72,505.47/294.69
  6. Step 6: Final answer
    x = 246.04

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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.