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Finding the Fourth Proportional to 258.14, 356.33 and 159.94

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Solution

The fourth proportional to 258.14, 356.33 and 159.94 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 356.33 = 159.94 : x
  2. Step 2: Convert to fraction form
    258.14/356.33 = 159.94/x
  3. Step 3: Cross multiply
    258.14x = 356.33 × 159.94
  4. Step 4: Simplify right side
    258.14x = 56,991.42
  5. Step 5: Solve for x
    x = 56,991.42/258.14
  6. Step 6: Final answer
    x = 220.78

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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.