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Finding the Fourth Proportional to 214.24, 321.20 and 185.34

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Solution

The fourth proportional to 214.24, 321.20 and 185.34 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 321.20 = 185.34 : x
  2. Step 2: Convert to fraction form
    214.24/321.20 = 185.34/x
  3. Step 3: Cross multiply
    214.24x = 321.20 × 185.34
  4. Step 4: Simplify right side
    214.24x = 59,531.21
  5. Step 5: Solve for x
    x = 59,531.21/214.24
  6. Step 6: Final answer
    x = 277.87

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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.