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Finding the Fourth Proportional to 189.75, 284.36 and 108.57

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Solution

The fourth proportional to 189.75, 284.36 and 108.57 is: 162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 284.36 = 108.57 : x
  2. Step 2: Convert to fraction form
    189.75/284.36 = 108.57/x
  3. Step 3: Cross multiply
    189.75x = 284.36 × 108.57
  4. Step 4: Simplify right side
    189.75x = 30,872.42
  5. Step 5: Solve for x
    x = 30,872.42/189.75
  6. Step 6: Final answer
    x = 162.70

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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.