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Finding the Fourth Proportional to 258.71, 356.82 and 159.02

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Solution

The fourth proportional to 258.71, 356.82 and 159.02 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 356.82 = 159.02 : x
  2. Step 2: Convert to fraction form
    258.71/356.82 = 159.02/x
  3. Step 3: Cross multiply
    258.71x = 356.82 × 159.02
  4. Step 4: Simplify right side
    258.71x = 56,739.73
  5. Step 5: Solve for x
    x = 56,739.73/258.71
  6. Step 6: Final answer
    x = 219.32

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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.