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Finding the Fourth Proportional to 253.72, 349.88 and 204.56

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Solution

The fourth proportional to 253.72, 349.88 and 204.56 is: 282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 349.88 = 204.56 : x
  2. Step 2: Convert to fraction form
    253.72/349.88 = 204.56/x
  3. Step 3: Cross multiply
    253.72x = 349.88 × 204.56
  4. Step 4: Simplify right side
    253.72x = 71,571.45
  5. Step 5: Solve for x
    x = 71,571.45/253.72
  6. Step 6: Final answer
    x = 282.09

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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.