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Finding the Fourth Proportional to 192.42, 287.43 and 165.08

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Solution

The fourth proportional to 192.42, 287.43 and 165.08 is: 246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 287.43 = 165.08 : x
  2. Step 2: Convert to fraction form
    192.42/287.43 = 165.08/x
  3. Step 3: Cross multiply
    192.42x = 287.43 × 165.08
  4. Step 4: Simplify right side
    192.42x = 47,448.94
  5. Step 5: Solve for x
    x = 47,448.94/192.42
  6. Step 6: Final answer
    x = 246.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.