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Finding the Fourth Proportional to 301.59, 416.21 and 196.74

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Solution

The fourth proportional to 301.59, 416.21 and 196.74 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 416.21 = 196.74 : x
  2. Step 2: Convert to fraction form
    301.59/416.21 = 196.74/x
  3. Step 3: Cross multiply
    301.59x = 416.21 × 196.74
  4. Step 4: Simplify right side
    301.59x = 81,884.17
  5. Step 5: Solve for x
    x = 81,884.17/301.59
  6. Step 6: Final answer
    x = 271.51

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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.