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Finding the Fourth Proportional to 189.14, 261.04 and 137.42

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Solution

The fourth proportional to 189.14, 261.04 and 137.42 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 261.04 = 137.42 : x
  2. Step 2: Convert to fraction form
    189.14/261.04 = 137.42/x
  3. Step 3: Cross multiply
    189.14x = 261.04 × 137.42
  4. Step 4: Simplify right side
    189.14x = 35,872.12
  5. Step 5: Solve for x
    x = 35,872.12/189.14
  6. Step 6: Final answer
    x = 189.66

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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.