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Finding the Fourth Proportional to 189.72, 261.96 and 137.38

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Solution

The fourth proportional to 189.72, 261.96 and 137.38 is: 189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 261.96 = 137.38 : x
  2. Step 2: Convert to fraction form
    189.72/261.96 = 137.38/x
  3. Step 3: Cross multiply
    189.72x = 261.96 × 137.38
  4. Step 4: Simplify right side
    189.72x = 35,988.06
  5. Step 5: Solve for x
    x = 35,988.06/189.72
  6. Step 6: Final answer
    x = 189.69

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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.