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Finding the Fourth Proportional to 187.14, 280.44 and 78.78

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Solution

The fourth proportional to 187.14, 280.44 and 78.78 is: 118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.14 : 280.44 = 78.78 : x
  2. Step 2: Convert to fraction form
    187.14/280.44 = 78.78/x
  3. Step 3: Cross multiply
    187.14x = 280.44 × 78.78
  4. Step 4: Simplify right side
    187.14x = 22,093.06
  5. Step 5: Solve for x
    x = 22,093.06/187.14
  6. Step 6: Final answer
    x = 118.06

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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.