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Finding the Fourth Proportional to 294.68, 406.48 and 196.28

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Solution

The fourth proportional to 294.68, 406.48 and 196.28 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 406.48 = 196.28 : x
  2. Step 2: Convert to fraction form
    294.68/406.48 = 196.28/x
  3. Step 3: Cross multiply
    294.68x = 406.48 × 196.28
  4. Step 4: Simplify right side
    294.68x = 79,783.89
  5. Step 5: Solve for x
    x = 79,783.89/294.68
  6. Step 6: Final answer
    x = 270.75

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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.