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Finding the Fourth Proportional to 189.09, 260.91 and 115.38

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Solution

The fourth proportional to 189.09, 260.91 and 115.38 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 260.91 = 115.38 : x
  2. Step 2: Convert to fraction form
    189.09/260.91 = 115.38/x
  3. Step 3: Cross multiply
    189.09x = 260.91 × 115.38
  4. Step 4: Simplify right side
    189.09x = 30,103.80
  5. Step 5: Solve for x
    x = 30,103.80/189.09
  6. Step 6: Final answer
    x = 159.20

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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.