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Finding the Fourth Proportional to 185.44, 255.80 and 156.28

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Solution

The fourth proportional to 185.44, 255.80 and 156.28 is: 215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.44 : 255.80 = 156.28 : x
  2. Step 2: Convert to fraction form
    185.44/255.80 = 156.28/x
  3. Step 3: Cross multiply
    185.44x = 255.80 × 156.28
  4. Step 4: Simplify right side
    185.44x = 39,976.42
  5. Step 5: Solve for x
    x = 39,976.42/185.44
  6. Step 6: Final answer
    x = 215.58

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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.