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Finding the Fourth Proportional to 214.49, 321.77 and 106.22

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Solution

The fourth proportional to 214.49, 321.77 and 106.22 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 321.77 = 106.22 : x
  2. Step 2: Convert to fraction form
    214.49/321.77 = 106.22/x
  3. Step 3: Cross multiply
    214.49x = 321.77 × 106.22
  4. Step 4: Simplify right side
    214.49x = 34,177.88
  5. Step 5: Solve for x
    x = 34,177.88/214.49
  6. Step 6: Final answer
    x = 159.34

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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.