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Finding the Fourth Proportional to 189.99, 285.15 and 81.85

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Solution

The fourth proportional to 189.99, 285.15 and 81.85 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.99 : 285.15 = 81.85 : x
  2. Step 2: Convert to fraction form
    189.99/285.15 = 81.85/x
  3. Step 3: Cross multiply
    189.99x = 285.15 × 81.85
  4. Step 4: Simplify right side
    189.99x = 23,339.53
  5. Step 5: Solve for x
    x = 23,339.53/189.99
  6. Step 6: Final answer
    x = 122.85

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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.