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Finding the Fourth Proportional to 214.26, 321.28 and 92.47

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Solution

The fourth proportional to 214.26, 321.28 and 92.47 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.26 : 321.28 = 92.47 : x
  2. Step 2: Convert to fraction form
    214.26/321.28 = 92.47/x
  3. Step 3: Cross multiply
    214.26x = 321.28 × 92.47
  4. Step 4: Simplify right side
    214.26x = 29,708.76
  5. Step 5: Solve for x
    x = 29,708.76/214.26
  6. Step 6: Final answer
    x = 138.66

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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.