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Finding the Fourth Proportional to 189.69, 284.57 and 86.97

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Solution

The fourth proportional to 189.69, 284.57 and 86.97 is: 130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 284.57 = 86.97 : x
  2. Step 2: Convert to fraction form
    189.69/284.57 = 86.97/x
  3. Step 3: Cross multiply
    189.69x = 284.57 × 86.97
  4. Step 4: Simplify right side
    189.69x = 24,749.33
  5. Step 5: Solve for x
    x = 24,749.33/189.69
  6. Step 6: Final answer
    x = 130.48

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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.