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Finding the Fourth Proportional to 192.31, 264.74 and 143.10

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Solution

The fourth proportional to 192.31, 264.74 and 143.10 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 264.74 = 143.10 : x
  2. Step 2: Convert to fraction form
    192.31/264.74 = 143.10/x
  3. Step 3: Cross multiply
    192.31x = 264.74 × 143.10
  4. Step 4: Simplify right side
    192.31x = 37,883.58
  5. Step 5: Solve for x
    x = 37,883.58/192.31
  6. Step 6: Final answer
    x = 196.99

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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.