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Finding the Fourth Proportional to 213.08, 293.95 and 185.41

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Solution

The fourth proportional to 213.08, 293.95 and 185.41 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.08 : 293.95 = 185.41 : x
  2. Step 2: Convert to fraction form
    213.08/293.95 = 185.41/x
  3. Step 3: Cross multiply
    213.08x = 293.95 × 185.41
  4. Step 4: Simplify right side
    213.08x = 54,500.77
  5. Step 5: Solve for x
    x = 54,500.77/213.08
  6. Step 6: Final answer
    x = 255.77

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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.