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Finding the Fourth Proportional to 189.62, 284.41 and 61.37

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Solution

The fourth proportional to 189.62, 284.41 and 61.37 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.62 : 284.41 = 61.37 : x
  2. Step 2: Convert to fraction form
    189.62/284.41 = 61.37/x
  3. Step 3: Cross multiply
    189.62x = 284.41 × 61.37
  4. Step 4: Simplify right side
    189.62x = 17,452.67
  5. Step 5: Solve for x
    x = 17,452.67/189.62
  6. Step 6: Final answer
    x = 92.04

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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.