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Finding the Fourth Proportional to 175.08, 262.14 and 166.14

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Solution

The fourth proportional to 175.08, 262.14 and 166.14 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.08 : 262.14 = 166.14 : x
  2. Step 2: Convert to fraction form
    175.08/262.14 = 166.14/x
  3. Step 3: Cross multiply
    175.08x = 262.14 × 166.14
  4. Step 4: Simplify right side
    175.08x = 43,551.94
  5. Step 5: Solve for x
    x = 43,551.94/175.08
  6. Step 6: Final answer
    x = 248.75

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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.