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Finding the Fourth Proportional to 289.18, 398.89 and 189.44

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Solution

The fourth proportional to 289.18, 398.89 and 189.44 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.18 : 398.89 = 189.44 : x
  2. Step 2: Convert to fraction form
    289.18/398.89 = 189.44/x
  3. Step 3: Cross multiply
    289.18x = 398.89 × 189.44
  4. Step 4: Simplify right side
    289.18x = 75,565.72
  5. Step 5: Solve for x
    x = 75,565.72/289.18
  6. Step 6: Final answer
    x = 261.31

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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.