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Finding the Fourth Proportional to 212.63, 319.01 and 157.88

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Solution

The fourth proportional to 212.63, 319.01 and 157.88 is: 236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 319.01 = 157.88 : x
  2. Step 2: Convert to fraction form
    212.63/319.01 = 157.88/x
  3. Step 3: Cross multiply
    212.63x = 319.01 × 157.88
  4. Step 4: Simplify right side
    212.63x = 50,365.31
  5. Step 5: Solve for x
    x = 50,365.31/212.63
  6. Step 6: Final answer
    x = 236.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.