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Finding the Fourth Proportional to 199.96, 276.48 and 178.12

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Solution

The fourth proportional to 199.96, 276.48 and 178.12 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 276.48 = 178.12 : x
  2. Step 2: Convert to fraction form
    199.96/276.48 = 178.12/x
  3. Step 3: Cross multiply
    199.96x = 276.48 × 178.12
  4. Step 4: Simplify right side
    199.96x = 49,246.62
  5. Step 5: Solve for x
    x = 49,246.62/199.96
  6. Step 6: Final answer
    x = 246.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.