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Finding the Fourth Proportional to 189.87, 261.81 and 165.24

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Solution

The fourth proportional to 189.87, 261.81 and 165.24 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.87 : 261.81 = 165.24 : x
  2. Step 2: Convert to fraction form
    189.87/261.81 = 165.24/x
  3. Step 3: Cross multiply
    189.87x = 261.81 × 165.24
  4. Step 4: Simplify right side
    189.87x = 43,261.48
  5. Step 5: Solve for x
    x = 43,261.48/189.87
  6. Step 6: Final answer
    x = 227.85

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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.