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Finding the Fourth Proportional to 199.82, 277.41 and 193.88

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Solution

The fourth proportional to 199.82, 277.41 and 193.88 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 277.41 = 193.88 : x
  2. Step 2: Convert to fraction form
    199.82/277.41 = 193.88/x
  3. Step 3: Cross multiply
    199.82x = 277.41 × 193.88
  4. Step 4: Simplify right side
    199.82x = 53,784.25
  5. Step 5: Solve for x
    x = 53,784.25/199.82
  6. Step 6: Final answer
    x = 269.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.