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Finding the Fourth Proportional to 175.82, 262.44 and 163.14

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Solution

The fourth proportional to 175.82, 262.44 and 163.14 is: 243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 262.44 = 163.14 : x
  2. Step 2: Convert to fraction form
    175.82/262.44 = 163.14/x
  3. Step 3: Cross multiply
    175.82x = 262.44 × 163.14
  4. Step 4: Simplify right side
    175.82x = 42,814.46
  5. Step 5: Solve for x
    x = 42,814.46/175.82
  6. Step 6: Final answer
    x = 243.51

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Why These Related Problems?

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