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Finding the Fourth Proportional to 189.36, 261.83 and 158.27

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Solution

The fourth proportional to 189.36, 261.83 and 158.27 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 261.83 = 158.27 : x
  2. Step 2: Convert to fraction form
    189.36/261.83 = 158.27/x
  3. Step 3: Cross multiply
    189.36x = 261.83 × 158.27
  4. Step 4: Simplify right side
    189.36x = 41,438.92
  5. Step 5: Solve for x
    x = 41,438.92/189.36
  6. Step 6: Final answer
    x = 218.84

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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.