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Finding the Fourth Proportional to 189.66, 261.88 and 164.85

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Solution

The fourth proportional to 189.66, 261.88 and 164.85 is: 227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 261.88 = 164.85 : x
  2. Step 2: Convert to fraction form
    189.66/261.88 = 164.85/x
  3. Step 3: Cross multiply
    189.66x = 261.88 × 164.85
  4. Step 4: Simplify right side
    189.66x = 43,170.92
  5. Step 5: Solve for x
    x = 43,170.92/189.66
  6. Step 6: Final answer
    x = 227.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.