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Finding the Fourth Proportional to 187.48, 280.63 and 103.97

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Solution

The fourth proportional to 187.48, 280.63 and 103.97 is: 155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.48 : 280.63 = 103.97 : x
  2. Step 2: Convert to fraction form
    187.48/280.63 = 103.97/x
  3. Step 3: Cross multiply
    187.48x = 280.63 × 103.97
  4. Step 4: Simplify right side
    187.48x = 29,177.54
  5. Step 5: Solve for x
    x = 29,177.54/187.48
  6. Step 6: Final answer
    x = 155.63

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