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Finding the Fourth Proportional to 204.53, 282.35 and 180.23

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Solution

The fourth proportional to 204.53, 282.35 and 180.23 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.35 = 180.23 : x
  2. Step 2: Convert to fraction form
    204.53/282.35 = 180.23/x
  3. Step 3: Cross multiply
    204.53x = 282.35 × 180.23
  4. Step 4: Simplify right side
    204.53x = 50,886.98
  5. Step 5: Solve for x
    x = 50,886.98/204.53
  6. Step 6: Final answer
    x = 248.81

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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.