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Finding the Fourth Proportional to 257.87, 355.86 and 159.63

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Solution

The fourth proportional to 257.87, 355.86 and 159.63 is: 220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.87 : 355.86 = 159.63 : x
  2. Step 2: Convert to fraction form
    257.87/355.86 = 159.63/x
  3. Step 3: Cross multiply
    257.87x = 355.86 × 159.63
  4. Step 4: Simplify right side
    257.87x = 56,805.93
  5. Step 5: Solve for x
    x = 56,805.93/257.87
  6. Step 6: Final answer
    x = 220.29

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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.