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Finding the Fourth Proportional to 289.25, 398.86 and 190.88

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Solution

The fourth proportional to 289.25, 398.86 and 190.88 is: 263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 398.86 = 190.88 : x
  2. Step 2: Convert to fraction form
    289.25/398.86 = 190.88/x
  3. Step 3: Cross multiply
    289.25x = 398.86 × 190.88
  4. Step 4: Simplify right side
    289.25x = 76,131.45
  5. Step 5: Solve for x
    x = 76,131.45/289.25
  6. Step 6: Final answer
    x = 263.21

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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.