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Finding the Fourth Proportional to 289.15, 433.87 and 115.81

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Solution

The fourth proportional to 289.15, 433.87 and 115.81 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.15 : 433.87 = 115.81 : x
  2. Step 2: Convert to fraction form
    289.15/433.87 = 115.81/x
  3. Step 3: Cross multiply
    289.15x = 433.87 × 115.81
  4. Step 4: Simplify right side
    289.15x = 50,248.20
  5. Step 5: Solve for x
    x = 50,248.20/289.15
  6. Step 6: Final answer
    x = 173.78

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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.