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Finding the Fourth Proportional to 321.26, 442.89 and 214.87

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Solution

The fourth proportional to 321.26, 442.89 and 214.87 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.26 : 442.89 = 214.87 : x
  2. Step 2: Convert to fraction form
    321.26/442.89 = 214.87/x
  3. Step 3: Cross multiply
    321.26x = 442.89 × 214.87
  4. Step 4: Simplify right side
    321.26x = 95,162.67
  5. Step 5: Solve for x
    x = 95,162.67/321.26
  6. Step 6: Final answer
    x = 296.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.