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Finding the Fourth Proportional to 195.30, 268.84 and 139.94

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Solution

The fourth proportional to 195.30, 268.84 and 139.94 is: 192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 268.84 = 139.94 : x
  2. Step 2: Convert to fraction form
    195.30/268.84 = 139.94/x
  3. Step 3: Cross multiply
    195.30x = 268.84 × 139.94
  4. Step 4: Simplify right side
    195.30x = 37,621.47
  5. Step 5: Solve for x
    x = 37,621.47/195.30
  6. Step 6: Final answer
    x = 192.63

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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.