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Finding the Fourth Proportional to 205.31, 283.56 and 139.70

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Solution

The fourth proportional to 205.31, 283.56 and 139.70 is: 192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 283.56 = 139.70 : x
  2. Step 2: Convert to fraction form
    205.31/283.56 = 139.70/x
  3. Step 3: Cross multiply
    205.31x = 283.56 × 139.70
  4. Step 4: Simplify right side
    205.31x = 39,614.30
  5. Step 5: Solve for x
    x = 39,614.30/205.31
  6. Step 6: Final answer
    x = 192.95

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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.