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Finding the Fourth Proportional to 294.75, 406.96 and 178.52

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Solution

The fourth proportional to 294.75, 406.96 and 178.52 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.75 : 406.96 = 178.52 : x
  2. Step 2: Convert to fraction form
    294.75/406.96 = 178.52/x
  3. Step 3: Cross multiply
    294.75x = 406.96 × 178.52
  4. Step 4: Simplify right side
    294.75x = 72,648.02
  5. Step 5: Solve for x
    x = 72,648.02/294.75
  6. Step 6: Final answer
    x = 246.47

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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.