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Finding the Fourth Proportional to 187.23, 280.46 and 109.96

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Solution

The fourth proportional to 187.23, 280.46 and 109.96 is: 164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.23 : 280.46 = 109.96 : x
  2. Step 2: Convert to fraction form
    187.23/280.46 = 109.96/x
  3. Step 3: Cross multiply
    187.23x = 280.46 × 109.96
  4. Step 4: Simplify right side
    187.23x = 30,838.13
  5. Step 5: Solve for x
    x = 30,838.13/187.23
  6. Step 6: Final answer
    x = 164.71

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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.