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Finding the Fourth Proportional to 189.75, 284.17 and 108.35

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Solution

The fourth proportional to 189.75, 284.17 and 108.35 is: 162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 284.17 = 108.35 : x
  2. Step 2: Convert to fraction form
    189.75/284.17 = 108.35/x
  3. Step 3: Cross multiply
    189.75x = 284.17 × 108.35
  4. Step 4: Simplify right side
    189.75x = 30,789.82
  5. Step 5: Solve for x
    x = 30,789.82/189.75
  6. Step 6: Final answer
    x = 162.27

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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.