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Finding the Fourth Proportional to 257.26, 385.91 and 74.66

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Solution

The fourth proportional to 257.26, 385.91 and 74.66 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 385.91 = 74.66 : x
  2. Step 2: Convert to fraction form
    257.26/385.91 = 74.66/x
  3. Step 3: Cross multiply
    257.26x = 385.91 × 74.66
  4. Step 4: Simplify right side
    257.26x = 28,810.44
  5. Step 5: Solve for x
    x = 28,810.44/257.26
  6. Step 6: Final answer
    x = 111.99

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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.