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Finding the Fourth Proportional to 258.72, 387.24 and 166.23

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Solution

The fourth proportional to 258.72, 387.24 and 166.23 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 387.24 = 166.23 : x
  2. Step 2: Convert to fraction form
    258.72/387.24 = 166.23/x
  3. Step 3: Cross multiply
    258.72x = 387.24 × 166.23
  4. Step 4: Simplify right side
    258.72x = 64,370.91
  5. Step 5: Solve for x
    x = 64,370.91/258.72
  6. Step 6: Final answer
    x = 248.81

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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.