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Finding the Fourth Proportional to 214.36, 321.30 and 92.56

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Solution

The fourth proportional to 214.36, 321.30 and 92.56 is: 138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 321.30 = 92.56 : x
  2. Step 2: Convert to fraction form
    214.36/321.30 = 92.56/x
  3. Step 3: Cross multiply
    214.36x = 321.30 × 92.56
  4. Step 4: Simplify right side
    214.36x = 29,739.53
  5. Step 5: Solve for x
    x = 29,739.53/214.36
  6. Step 6: Final answer
    x = 138.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.