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Finding the Fourth Proportional to 250.84, 376.10 and 199.30

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Solution

The fourth proportional to 250.84, 376.10 and 199.30 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.84 : 376.10 = 199.30 : x
  2. Step 2: Convert to fraction form
    250.84/376.10 = 199.30/x
  3. Step 3: Cross multiply
    250.84x = 376.10 × 199.30
  4. Step 4: Simplify right side
    250.84x = 74,956.73
  5. Step 5: Solve for x
    x = 74,956.73/250.84
  6. Step 6: Final answer
    x = 298.82

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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.