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Finding the Fourth Proportional to 214.23, 320.97 and 181.83

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Solution

The fourth proportional to 214.23, 320.97 and 181.83 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.23 : 320.97 = 181.83 : x
  2. Step 2: Convert to fraction form
    214.23/320.97 = 181.83/x
  3. Step 3: Cross multiply
    214.23x = 320.97 × 181.83
  4. Step 4: Simplify right side
    214.23x = 58,361.98
  5. Step 5: Solve for x
    x = 58,361.98/214.23
  6. Step 6: Final answer
    x = 272.43

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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.