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Finding the Fourth Proportional to 214.82, 322.19 and 77.85

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Solution

The fourth proportional to 214.82, 322.19 and 77.85 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 322.19 = 77.85 : x
  2. Step 2: Convert to fraction form
    214.82/322.19 = 77.85/x
  3. Step 3: Cross multiply
    214.82x = 322.19 × 77.85
  4. Step 4: Simplify right side
    214.82x = 25,082.10
  5. Step 5: Solve for x
    x = 25,082.10/214.82
  6. Step 6: Final answer
    x = 116.76

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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.