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Finding the Fourth Proportional to 214.48, 321.76 and 106.27

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Solution

The fourth proportional to 214.48, 321.76 and 106.27 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 321.76 = 106.27 : x
  2. Step 2: Convert to fraction form
    214.48/321.76 = 106.27/x
  3. Step 3: Cross multiply
    214.48x = 321.76 × 106.27
  4. Step 4: Simplify right side
    214.48x = 34,192.90
  5. Step 5: Solve for x
    x = 34,192.90/214.48
  6. Step 6: Final answer
    x = 159.42

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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.