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Finding the Fourth Proportional to 254.84, 381.45 and 200.84

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Solution

The fourth proportional to 254.84, 381.45 and 200.84 is: 300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.84 : 381.45 = 200.84 : x
  2. Step 2: Convert to fraction form
    254.84/381.45 = 200.84/x
  3. Step 3: Cross multiply
    254.84x = 381.45 × 200.84
  4. Step 4: Simplify right side
    254.84x = 76,610.42
  5. Step 5: Solve for x
    x = 76,610.42/254.84
  6. Step 6: Final answer
    x = 300.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.