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Finding the Fourth Proportional to 280.26, 386.91 and 185.74

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Solution

The fourth proportional to 280.26, 386.91 and 185.74 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 386.91 = 185.74 : x
  2. Step 2: Convert to fraction form
    280.26/386.91 = 185.74/x
  3. Step 3: Cross multiply
    280.26x = 386.91 × 185.74
  4. Step 4: Simplify right side
    280.26x = 71,866.66
  5. Step 5: Solve for x
    x = 71,866.66/280.26
  6. Step 6: Final answer
    x = 256.43

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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.