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Finding the Fourth Proportional to 214.72, 296.67 and 171.43

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Solution

The fourth proportional to 214.72, 296.67 and 171.43 is: 236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.67 = 171.43 : x
  2. Step 2: Convert to fraction form
    214.72/296.67 = 171.43/x
  3. Step 3: Cross multiply
    214.72x = 296.67 × 171.43
  4. Step 4: Simplify right side
    214.72x = 50,858.14
  5. Step 5: Solve for x
    x = 50,858.14/214.72
  6. Step 6: Final answer
    x = 236.86

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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.