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Finding the Fourth Proportional to 175.91, 262.19 and 166.77

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Solution

The fourth proportional to 175.91, 262.19 and 166.77 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.91 : 262.19 = 166.77 : x
  2. Step 2: Convert to fraction form
    175.91/262.19 = 166.77/x
  3. Step 3: Cross multiply
    175.91x = 262.19 × 166.77
  4. Step 4: Simplify right side
    175.91x = 43,725.84
  5. Step 5: Solve for x
    x = 43,725.84/175.91
  6. Step 6: Final answer
    x = 248.58

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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.