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Finding the Fourth Proportional to 289.64, 399.96 and 196.70

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Solution

The fourth proportional to 289.64, 399.96 and 196.70 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 399.96 = 196.70 : x
  2. Step 2: Convert to fraction form
    289.64/399.96 = 196.70/x
  3. Step 3: Cross multiply
    289.64x = 399.96 × 196.70
  4. Step 4: Simplify right side
    289.64x = 78,670.13
  5. Step 5: Solve for x
    x = 78,670.13/289.64
  6. Step 6: Final answer
    x = 271.61

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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.