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Finding the Fourth Proportional to 189.98, 285.08 and 81.78

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Solution

The fourth proportional to 189.98, 285.08 and 81.78 is: 122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.98 : 285.08 = 81.78 : x
  2. Step 2: Convert to fraction form
    189.98/285.08 = 81.78/x
  3. Step 3: Cross multiply
    189.98x = 285.08 × 81.78
  4. Step 4: Simplify right side
    189.98x = 23,313.84
  5. Step 5: Solve for x
    x = 23,313.84/189.98
  6. Step 6: Final answer
    x = 122.72

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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.