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Finding the Fourth Proportional to 305.75, 421.74 and 200.94

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Solution

The fourth proportional to 305.75, 421.74 and 200.94 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 421.74 = 200.94 : x
  2. Step 2: Convert to fraction form
    305.75/421.74 = 200.94/x
  3. Step 3: Cross multiply
    305.75x = 421.74 × 200.94
  4. Step 4: Simplify right side
    305.75x = 84,744.44
  5. Step 5: Solve for x
    x = 84,744.44/305.75
  6. Step 6: Final answer
    x = 277.17

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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.