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Finding the Fourth Proportional to 189.14, 260.95 and 115.46

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Solution

The fourth proportional to 189.14, 260.95 and 115.46 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 260.95 = 115.46 : x
  2. Step 2: Convert to fraction form
    189.14/260.95 = 115.46/x
  3. Step 3: Cross multiply
    189.14x = 260.95 × 115.46
  4. Step 4: Simplify right side
    189.14x = 30,129.29
  5. Step 5: Solve for x
    x = 30,129.29/189.14
  6. Step 6: Final answer
    x = 159.30

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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.