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Finding the Fourth Proportional to 204.73, 282.50 and 149.53

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Solution

The fourth proportional to 204.73, 282.50 and 149.53 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 282.50 = 149.53 : x
  2. Step 2: Convert to fraction form
    204.73/282.50 = 149.53/x
  3. Step 3: Cross multiply
    204.73x = 282.50 × 149.53
  4. Step 4: Simplify right side
    204.73x = 42,241.48
  5. Step 5: Solve for x
    x = 42,241.48/204.73
  6. Step 6: Final answer
    x = 206.33

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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.