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Finding the Fourth Proportional to 258.21, 356.31 and 160.02

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Solution

The fourth proportional to 258.21, 356.31 and 160.02 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.21 : 356.31 = 160.02 : x
  2. Step 2: Convert to fraction form
    258.21/356.31 = 160.02/x
  3. Step 3: Cross multiply
    258.21x = 356.31 × 160.02
  4. Step 4: Simplify right side
    258.21x = 57,016.73
  5. Step 5: Solve for x
    x = 57,016.73/258.21
  6. Step 6: Final answer
    x = 220.82

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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.