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Finding the Fourth Proportional to 205.28, 283.04 and 139.84

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Solution

The fourth proportional to 205.28, 283.04 and 139.84 is: 192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 283.04 = 139.84 : x
  2. Step 2: Convert to fraction form
    205.28/283.04 = 139.84/x
  3. Step 3: Cross multiply
    205.28x = 283.04 × 139.84
  4. Step 4: Simplify right side
    205.28x = 39,580.31
  5. Step 5: Solve for x
    x = 39,580.31/205.28
  6. Step 6: Final answer
    x = 192.81

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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.