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Finding the Fourth Proportional to 258.50, 356.73 and 166.66

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Solution

The fourth proportional to 258.50, 356.73 and 166.66 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 356.73 = 166.66 : x
  2. Step 2: Convert to fraction form
    258.50/356.73 = 166.66/x
  3. Step 3: Cross multiply
    258.50x = 356.73 × 166.66
  4. Step 4: Simplify right side
    258.50x = 59,452.62
  5. Step 5: Solve for x
    x = 59,452.62/258.50
  6. Step 6: Final answer
    x = 229.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.