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Finding the Fourth Proportional to 294.80, 406.58 and 178.26

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Solution

The fourth proportional to 294.80, 406.58 and 178.26 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.80 : 406.58 = 178.26 : x
  2. Step 2: Convert to fraction form
    294.80/406.58 = 178.26/x
  3. Step 3: Cross multiply
    294.80x = 406.58 × 178.26
  4. Step 4: Simplify right side
    294.80x = 72,476.95
  5. Step 5: Solve for x
    x = 72,476.95/294.80
  6. Step 6: Final answer
    x = 245.85

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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.