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Finding the Fourth Proportional to 175.97, 262.42 and 154.41

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Solution

The fourth proportional to 175.97, 262.42 and 154.41 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 262.42 = 154.41 : x
  2. Step 2: Convert to fraction form
    175.97/262.42 = 154.41/x
  3. Step 3: Cross multiply
    175.97x = 262.42 × 154.41
  4. Step 4: Simplify right side
    175.97x = 40,518.96
  5. Step 5: Solve for x
    x = 40,518.96/175.97
  6. Step 6: Final answer
    x = 230.26

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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.