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Finding the Fourth Proportional to 401.70, 601.74 and 196.14

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Solution

The fourth proportional to 401.70, 601.74 and 196.14 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.70 : 601.74 = 196.14 : x
  2. Step 2: Convert to fraction form
    401.70/601.74 = 196.14/x
  3. Step 3: Cross multiply
    401.70x = 601.74 × 196.14
  4. Step 4: Simplify right side
    401.70x = 118,025.28
  5. Step 5: Solve for x
    x = 118,025.28/401.70
  6. Step 6: Final answer
    x = 293.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.