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Finding the Fourth Proportional to 204.95, 283.02 and 139.65

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Solution

The fourth proportional to 204.95, 283.02 and 139.65 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.95 : 283.02 = 139.65 : x
  2. Step 2: Convert to fraction form
    204.95/283.02 = 139.65/x
  3. Step 3: Cross multiply
    204.95x = 283.02 × 139.65
  4. Step 4: Simplify right side
    204.95x = 39,523.74
  5. Step 5: Solve for x
    x = 39,523.74/204.95
  6. Step 6: Final answer
    x = 192.85

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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.