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Finding the Fourth Proportional to 214.36, 321.44 and 77.38

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Solution

The fourth proportional to 214.36, 321.44 and 77.38 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 321.44 = 77.38 : x
  2. Step 2: Convert to fraction form
    214.36/321.44 = 77.38/x
  3. Step 3: Cross multiply
    214.36x = 321.44 × 77.38
  4. Step 4: Simplify right side
    214.36x = 24,873.03
  5. Step 5: Solve for x
    x = 24,873.03/214.36
  6. Step 6: Final answer
    x = 116.03

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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.