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Finding the Fourth Proportional to 175.04, 262.16 and 166.54

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Solution

The fourth proportional to 175.04, 262.16 and 166.54 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.04 : 262.16 = 166.54 : x
  2. Step 2: Convert to fraction form
    175.04/262.16 = 166.54/x
  3. Step 3: Cross multiply
    175.04x = 262.16 × 166.54
  4. Step 4: Simplify right side
    175.04x = 43,660.13
  5. Step 5: Solve for x
    x = 43,660.13/175.04
  6. Step 6: Final answer
    x = 249.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.