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Finding the Fourth Proportional to 214.38, 321.24 and 106.23

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Solution

The fourth proportional to 214.38, 321.24 and 106.23 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 321.24 = 106.23 : x
  2. Step 2: Convert to fraction form
    214.38/321.24 = 106.23/x
  3. Step 3: Cross multiply
    214.38x = 321.24 × 106.23
  4. Step 4: Simplify right side
    214.38x = 34,125.33
  5. Step 5: Solve for x
    x = 34,125.33/214.38
  6. Step 6: Final answer
    x = 159.18

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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.