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Finding the Fourth Proportional to 214.67, 321.95 and 77.70

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Solution

The fourth proportional to 214.67, 321.95 and 77.70 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 321.95 = 77.70 : x
  2. Step 2: Convert to fraction form
    214.67/321.95 = 77.70/x
  3. Step 3: Cross multiply
    214.67x = 321.95 × 77.70
  4. Step 4: Simplify right side
    214.67x = 25,015.52
  5. Step 5: Solve for x
    x = 25,015.52/214.67
  6. Step 6: Final answer
    x = 116.53

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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.