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Finding the Fourth Proportional to 214.35, 296.21 and 182.82

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Solution

The fourth proportional to 214.35, 296.21 and 182.82 is: 252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 296.21 = 182.82 : x
  2. Step 2: Convert to fraction form
    214.35/296.21 = 182.82/x
  3. Step 3: Cross multiply
    214.35x = 296.21 × 182.82
  4. Step 4: Simplify right side
    214.35x = 54,152.20
  5. Step 5: Solve for x
    x = 54,152.20/214.35
  6. Step 6: Final answer
    x = 252.63

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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.