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Finding the Fourth Proportional to 289.16, 398.90 and 195.87

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Solution

The fourth proportional to 289.16, 398.90 and 195.87 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 398.90 = 195.87 : x
  2. Step 2: Convert to fraction form
    289.16/398.90 = 195.87/x
  3. Step 3: Cross multiply
    289.16x = 398.90 × 195.87
  4. Step 4: Simplify right side
    289.16x = 78,130.55
  5. Step 5: Solve for x
    x = 78,130.55/289.16
  6. Step 6: Final answer
    x = 270.20

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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.