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Finding the Fourth Proportional to 204.34, 282.15 and 139

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Solution

The fourth proportional to 204.34, 282.15 and 139 is: 191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 282.15 = 139 : x
  2. Step 2: Convert to fraction form
    204.34/282.15 = 139/x
  3. Step 3: Cross multiply
    204.34x = 282.15 × 139
  4. Step 4: Simplify right side
    204.34x = 39,218.85
  5. Step 5: Solve for x
    x = 39,218.85/204.34
  6. Step 6: Final answer
    x = 191.93

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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.