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Finding the Fourth Proportional to 214.64, 296.36 and 164.97

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Solution

The fourth proportional to 214.64, 296.36 and 164.97 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 296.36 = 164.97 : x
  2. Step 2: Convert to fraction form
    214.64/296.36 = 164.97/x
  3. Step 3: Cross multiply
    214.64x = 296.36 × 164.97
  4. Step 4: Simplify right side
    214.64x = 48,889.68
  5. Step 5: Solve for x
    x = 48,889.68/214.64
  6. Step 6: Final answer
    x = 227.78

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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.