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Finding the Fourth Proportional to 195.92, 293.77 and 187.50

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Solution

The fourth proportional to 195.92, 293.77 and 187.50 is: 281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 293.77 = 187.50 : x
  2. Step 2: Convert to fraction form
    195.92/293.77 = 187.50/x
  3. Step 3: Cross multiply
    195.92x = 293.77 × 187.50
  4. Step 4: Simplify right side
    195.92x = 55,081.41
  5. Step 5: Solve for x
    x = 55,081.41/195.92
  6. Step 6: Final answer
    x = 281.15

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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.