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Finding the Fourth Proportional to 212.76, 319.19 and 189.79

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Solution

The fourth proportional to 212.76, 319.19 and 189.79 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.76 : 319.19 = 189.79 : x
  2. Step 2: Convert to fraction form
    212.76/319.19 = 189.79/x
  3. Step 3: Cross multiply
    212.76x = 319.19 × 189.79
  4. Step 4: Simplify right side
    212.76x = 60,577.32
  5. Step 5: Solve for x
    x = 60,577.32/212.76
  6. Step 6: Final answer
    x = 284.72

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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.