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Finding the Fourth Proportional to 213.77, 295.24 and 185.02

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Solution

The fourth proportional to 213.77, 295.24 and 185.02 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 295.24 = 185.02 : x
  2. Step 2: Convert to fraction form
    213.77/295.24 = 185.02/x
  3. Step 3: Cross multiply
    213.77x = 295.24 × 185.02
  4. Step 4: Simplify right side
    213.77x = 54,625.30
  5. Step 5: Solve for x
    x = 54,625.30/213.77
  6. Step 6: Final answer
    x = 255.53

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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.