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Finding the Fourth Proportional to 189.06, 260.75 and 115.30

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Solution

The fourth proportional to 189.06, 260.75 and 115.30 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.06 : 260.75 = 115.30 : x
  2. Step 2: Convert to fraction form
    189.06/260.75 = 115.30/x
  3. Step 3: Cross multiply
    189.06x = 260.75 × 115.30
  4. Step 4: Simplify right side
    189.06x = 30,064.48
  5. Step 5: Solve for x
    x = 30,064.48/189.06
  6. Step 6: Final answer
    x = 159.02

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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.