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Finding the Fourth Proportional to 187.05, 280.68 and 109.97

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Solution

The fourth proportional to 187.05, 280.68 and 109.97 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 280.68 = 109.97 : x
  2. Step 2: Convert to fraction form
    187.05/280.68 = 109.97/x
  3. Step 3: Cross multiply
    187.05x = 280.68 × 109.97
  4. Step 4: Simplify right side
    187.05x = 30,866.38
  5. Step 5: Solve for x
    x = 30,866.38/187.05
  6. Step 6: Final answer
    x = 165.02

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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.