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Finding the Fourth Proportional to 214.71, 296.38 and 164.82

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Solution

The fourth proportional to 214.71, 296.38 and 164.82 is: 227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 296.38 = 164.82 : x
  2. Step 2: Convert to fraction form
    214.71/296.38 = 164.82/x
  3. Step 3: Cross multiply
    214.71x = 296.38 × 164.82
  4. Step 4: Simplify right side
    214.71x = 48,850.72
  5. Step 5: Solve for x
    x = 48,850.72/214.71
  6. Step 6: Final answer
    x = 227.52

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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.