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Finding the Fourth Proportional to 199.84, 276 and 197.14

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Solution

The fourth proportional to 199.84, 276 and 197.14 is: 272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 276 = 197.14 : x
  2. Step 2: Convert to fraction form
    199.84/276 = 197.14/x
  3. Step 3: Cross multiply
    199.84x = 276 × 197.14
  4. Step 4: Simplify right side
    199.84x = 54,410.64
  5. Step 5: Solve for x
    x = 54,410.64/199.84
  6. Step 6: Final answer
    x = 272.27

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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.