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Finding the Fourth Proportional to 212.86, 293.59 and 183.41

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Solution

The fourth proportional to 212.86, 293.59 and 183.41 is: 252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.86 : 293.59 = 183.41 : x
  2. Step 2: Convert to fraction form
    212.86/293.59 = 183.41/x
  3. Step 3: Cross multiply
    212.86x = 293.59 × 183.41
  4. Step 4: Simplify right side
    212.86x = 53,847.34
  5. Step 5: Solve for x
    x = 53,847.34/212.86
  6. Step 6: Final answer
    x = 252.97

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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.