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Finding the Fourth Proportional to 258.18, 356.28 and 159.96

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Solution

The fourth proportional to 258.18, 356.28 and 159.96 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 356.28 = 159.96 : x
  2. Step 2: Convert to fraction form
    258.18/356.28 = 159.96/x
  3. Step 3: Cross multiply
    258.18x = 356.28 × 159.96
  4. Step 4: Simplify right side
    258.18x = 56,990.55
  5. Step 5: Solve for x
    x = 56,990.55/258.18
  6. Step 6: Final answer
    x = 220.74

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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.