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Finding the Fourth Proportional to 187.27, 280.39 and 164.20

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Solution

The fourth proportional to 187.27, 280.39 and 164.20 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.27 : 280.39 = 164.20 : x
  2. Step 2: Convert to fraction form
    187.27/280.39 = 164.20/x
  3. Step 3: Cross multiply
    187.27x = 280.39 × 164.20
  4. Step 4: Simplify right side
    187.27x = 46,040.09
  5. Step 5: Solve for x
    x = 46,040.09/187.27
  6. Step 6: Final answer
    x = 245.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.