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Finding the Fourth Proportional to 212.80, 319.84 and 178.80

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Solution

The fourth proportional to 212.80, 319.84 and 178.80 is: 268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 319.84 = 178.80 : x
  2. Step 2: Convert to fraction form
    212.80/319.84 = 178.80/x
  3. Step 3: Cross multiply
    212.80x = 319.84 × 178.80
  4. Step 4: Simplify right side
    212.80x = 57,187.39
  5. Step 5: Solve for x
    x = 57,187.39/212.80
  6. Step 6: Final answer
    x = 268.74

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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.