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Finding the Fourth Proportional to 258.08, 386.69 and 166.69

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Solution

The fourth proportional to 258.08, 386.69 and 166.69 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.08 : 386.69 = 166.69 : x
  2. Step 2: Convert to fraction form
    258.08/386.69 = 166.69/x
  3. Step 3: Cross multiply
    258.08x = 386.69 × 166.69
  4. Step 4: Simplify right side
    258.08x = 64,455.42
  5. Step 5: Solve for x
    x = 64,455.42/258.08
  6. Step 6: Final answer
    x = 249.75

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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.