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Finding the Fourth Proportional to 187.63, 280.85 and 100.75

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Solution

The fourth proportional to 187.63, 280.85 and 100.75 is: 150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.63 : 280.85 = 100.75 : x
  2. Step 2: Convert to fraction form
    187.63/280.85 = 100.75/x
  3. Step 3: Cross multiply
    187.63x = 280.85 × 100.75
  4. Step 4: Simplify right side
    187.63x = 28,295.64
  5. Step 5: Solve for x
    x = 28,295.64/187.63
  6. Step 6: Final answer
    x = 150.81

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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.