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Finding the Fourth Proportional to 212.59, 293.09 and 181.37

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Solution

The fourth proportional to 212.59, 293.09 and 181.37 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.59 : 293.09 = 181.37 : x
  2. Step 2: Convert to fraction form
    212.59/293.09 = 181.37/x
  3. Step 3: Cross multiply
    212.59x = 293.09 × 181.37
  4. Step 4: Simplify right side
    212.59x = 53,157.56
  5. Step 5: Solve for x
    x = 53,157.56/212.59
  6. Step 6: Final answer
    x = 250.05

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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.