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Finding the Fourth Proportional to 204.36, 282.30 and 182.52

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Solution

The fourth proportional to 204.36, 282.30 and 182.52 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.36 : 282.30 = 182.52 : x
  2. Step 2: Convert to fraction form
    204.36/282.30 = 182.52/x
  3. Step 3: Cross multiply
    204.36x = 282.30 × 182.52
  4. Step 4: Simplify right side
    204.36x = 51,525.40
  5. Step 5: Solve for x
    x = 51,525.40/204.36
  6. Step 6: Final answer
    x = 252.13

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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.