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Finding the Fourth Proportional to 214.25, 295.94 and 165.73

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Solution

The fourth proportional to 214.25, 295.94 and 165.73 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 295.94 = 165.73 : x
  2. Step 2: Convert to fraction form
    214.25/295.94 = 165.73/x
  3. Step 3: Cross multiply
    214.25x = 295.94 × 165.73
  4. Step 4: Simplify right side
    214.25x = 49,046.14
  5. Step 5: Solve for x
    x = 49,046.14/214.25
  6. Step 6: Final answer
    x = 228.92

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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.