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Finding the Fourth Proportional to 257.53, 355.46 and 159.37

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Solution

The fourth proportional to 257.53, 355.46 and 159.37 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 355.46 = 159.37 : x
  2. Step 2: Convert to fraction form
    257.53/355.46 = 159.37/x
  3. Step 3: Cross multiply
    257.53x = 355.46 × 159.37
  4. Step 4: Simplify right side
    257.53x = 56,647.97
  5. Step 5: Solve for x
    x = 56,647.97/257.53
  6. Step 6: Final answer
    x = 219.97

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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.