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Finding the Fourth Proportional to 214.69, 321.96 and 77.70

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Solution

The fourth proportional to 214.69, 321.96 and 77.70 is: 116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 321.96 = 77.70 : x
  2. Step 2: Convert to fraction form
    214.69/321.96 = 77.70/x
  3. Step 3: Cross multiply
    214.69x = 321.96 × 77.70
  4. Step 4: Simplify right side
    214.69x = 25,016.29
  5. Step 5: Solve for x
    x = 25,016.29/214.69
  6. Step 6: Final answer
    x = 116.52

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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.