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Finding the Fourth Proportional to 189.50, 284.57 and 112.94

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Solution

The fourth proportional to 189.50, 284.57 and 112.94 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 284.57 = 112.94 : x
  2. Step 2: Convert to fraction form
    189.50/284.57 = 112.94/x
  3. Step 3: Cross multiply
    189.50x = 284.57 × 112.94
  4. Step 4: Simplify right side
    189.50x = 32,140.33
  5. Step 5: Solve for x
    x = 32,140.33/189.50
  6. Step 6: Final answer
    x = 169.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.