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Finding the Fourth Proportional to 257.85, 355.83 and 159.66

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Solution

The fourth proportional to 257.85, 355.83 and 159.66 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 355.83 = 159.66 : x
  2. Step 2: Convert to fraction form
    257.85/355.83 = 159.66/x
  3. Step 3: Cross multiply
    257.85x = 355.83 × 159.66
  4. Step 4: Simplify right side
    257.85x = 56,809.24
  5. Step 5: Solve for x
    x = 56,809.24/257.85
  6. Step 6: Final answer
    x = 220.32

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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.