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Finding the Fourth Proportional to 258.15, 386.61 and 166.58

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Solution

The fourth proportional to 258.15, 386.61 and 166.58 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 386.61 = 166.58 : x
  2. Step 2: Convert to fraction form
    258.15/386.61 = 166.58/x
  3. Step 3: Cross multiply
    258.15x = 386.61 × 166.58
  4. Step 4: Simplify right side
    258.15x = 64,399.56
  5. Step 5: Solve for x
    x = 64,399.56/258.15
  6. Step 6: Final answer
    x = 249.47

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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.