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Finding the Fourth Proportional to 204.51, 282.27 and 139.17

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Solution

The fourth proportional to 204.51, 282.27 and 139.17 is: 192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 282.27 = 139.17 : x
  2. Step 2: Convert to fraction form
    204.51/282.27 = 139.17/x
  3. Step 3: Cross multiply
    204.51x = 282.27 × 139.17
  4. Step 4: Simplify right side
    204.51x = 39,283.52
  5. Step 5: Solve for x
    x = 39,283.52/204.51
  6. Step 6: Final answer
    x = 192.09

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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.