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Finding the Fourth Proportional to 257.66, 385.94 and 160.20

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Solution

The fourth proportional to 257.66, 385.94 and 160.20 is: 239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.66 : 385.94 = 160.20 : x
  2. Step 2: Convert to fraction form
    257.66/385.94 = 160.20/x
  3. Step 3: Cross multiply
    257.66x = 385.94 × 160.20
  4. Step 4: Simplify right side
    257.66x = 61,828.62
  5. Step 5: Solve for x
    x = 61,828.62/257.66
  6. Step 6: Final answer
    x = 239.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.