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Finding the Fourth Proportional to 187.20, 280.64 and 168

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Solution

The fourth proportional to 187.20, 280.64 and 168 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 280.64 = 168 : x
  2. Step 2: Convert to fraction form
    187.20/280.64 = 168/x
  3. Step 3: Cross multiply
    187.20x = 280.64 × 168
  4. Step 4: Simplify right side
    187.20x = 47,147.52
  5. Step 5: Solve for x
    x = 47,147.52/187.20
  6. Step 6: Final answer
    x = 251.86

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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.