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Finding the Fourth Proportional to 212.82, 319.50 and 178.80

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Solution

The fourth proportional to 212.82, 319.50 and 178.80 is: 268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 319.50 = 178.80 : x
  2. Step 2: Convert to fraction form
    212.82/319.50 = 178.80/x
  3. Step 3: Cross multiply
    212.82x = 319.50 × 178.80
  4. Step 4: Simplify right side
    212.82x = 57,126.60
  5. Step 5: Solve for x
    x = 57,126.60/212.82
  6. Step 6: Final answer
    x = 268.43

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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.