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Finding the Fourth Proportional to 294.74, 406.35 and 196.46

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Solution

The fourth proportional to 294.74, 406.35 and 196.46 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 406.35 = 196.46 : x
  2. Step 2: Convert to fraction form
    294.74/406.35 = 196.46/x
  3. Step 3: Cross multiply
    294.74x = 406.35 × 196.46
  4. Step 4: Simplify right side
    294.74x = 79,831.52
  5. Step 5: Solve for x
    x = 79,831.52/294.74
  6. Step 6: Final answer
    x = 270.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.