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Finding the Fourth Proportional to 214.22, 319.49 and 181.92

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Solution

The fourth proportional to 214.22, 319.49 and 181.92 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 319.49 = 181.92 : x
  2. Step 2: Convert to fraction form
    214.22/319.49 = 181.92/x
  3. Step 3: Cross multiply
    214.22x = 319.49 × 181.92
  4. Step 4: Simplify right side
    214.22x = 58,120.71
  5. Step 5: Solve for x
    x = 58,120.71/214.22
  6. Step 6: Final answer
    x = 271.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.