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Finding the Fourth Proportional to 214.84, 296.22 and 182.44

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Solution

The fourth proportional to 214.84, 296.22 and 182.44 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 296.22 = 182.44 : x
  2. Step 2: Convert to fraction form
    214.84/296.22 = 182.44/x
  3. Step 3: Cross multiply
    214.84x = 296.22 × 182.44
  4. Step 4: Simplify right side
    214.84x = 54,042.38
  5. Step 5: Solve for x
    x = 54,042.38/214.84
  6. Step 6: Final answer
    x = 251.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.