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Finding the Fourth Proportional to 258.34, 386.92 and 166.75

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Solution

The fourth proportional to 258.34, 386.92 and 166.75 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 386.92 = 166.75 : x
  2. Step 2: Convert to fraction form
    258.34/386.92 = 166.75/x
  3. Step 3: Cross multiply
    258.34x = 386.92 × 166.75
  4. Step 4: Simplify right side
    258.34x = 64,518.91
  5. Step 5: Solve for x
    x = 64,518.91/258.34
  6. Step 6: Final answer
    x = 249.74

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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.