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Finding the Fourth Proportional to 214.73, 322.12 and 77.80

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Solution

The fourth proportional to 214.73, 322.12 and 77.80 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.73 : 322.12 = 77.80 : x
  2. Step 2: Convert to fraction form
    214.73/322.12 = 77.80/x
  3. Step 3: Cross multiply
    214.73x = 322.12 × 77.80
  4. Step 4: Simplify right side
    214.73x = 25,060.94
  5. Step 5: Solve for x
    x = 25,060.94/214.73
  6. Step 6: Final answer
    x = 116.71

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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.