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Finding the Fourth Proportional to 254.94, 351.90 and 200.06

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Solution

The fourth proportional to 254.94, 351.90 and 200.06 is: 276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 351.90 = 200.06 : x
  2. Step 2: Convert to fraction form
    254.94/351.90 = 200.06/x
  3. Step 3: Cross multiply
    254.94x = 351.90 × 200.06
  4. Step 4: Simplify right side
    254.94x = 70,399.35
  5. Step 5: Solve for x
    x = 70,399.35/254.94
  6. Step 6: Final answer
    x = 276.14

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