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Finding the Fourth Proportional to 187.28, 280.73 and 105.05

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Solution

The fourth proportional to 187.28, 280.73 and 105.05 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 280.73 = 105.05 : x
  2. Step 2: Convert to fraction form
    187.28/280.73 = 105.05/x
  3. Step 3: Cross multiply
    187.28x = 280.73 × 105.05
  4. Step 4: Simplify right side
    187.28x = 29,488.76
  5. Step 5: Solve for x
    x = 29,488.76/187.28
  6. Step 6: Final answer
    x = 157.46

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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.