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Finding the Fourth Proportional to 187.10, 280.62 and 78.83

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Solution

The fourth proportional to 187.10, 280.62 and 78.83 is: 118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 280.62 = 78.83 : x
  2. Step 2: Convert to fraction form
    187.10/280.62 = 78.83/x
  3. Step 3: Cross multiply
    187.10x = 280.62 × 78.83
  4. Step 4: Simplify right side
    187.10x = 22,119.87
  5. Step 5: Solve for x
    x = 22,119.87/187.10
  6. Step 6: Final answer
    x = 118.23

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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.