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Finding the Fourth Proportional to 187.15, 280.83 and 110.27

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Solution

The fourth proportional to 187.15, 280.83 and 110.27 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.15 : 280.83 = 110.27 : x
  2. Step 2: Convert to fraction form
    187.15/280.83 = 110.27/x
  3. Step 3: Cross multiply
    187.15x = 280.83 × 110.27
  4. Step 4: Simplify right side
    187.15x = 30,965.72
  5. Step 5: Solve for x
    x = 30,965.72/187.15
  6. Step 6: Final answer
    x = 165.46

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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.