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Finding the Fourth Proportional to 252.92, 348.94 and 165.71

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Solution

The fourth proportional to 252.92, 348.94 and 165.71 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.92 : 348.94 = 165.71 : x
  2. Step 2: Convert to fraction form
    252.92/348.94 = 165.71/x
  3. Step 3: Cross multiply
    252.92x = 348.94 × 165.71
  4. Step 4: Simplify right side
    252.92x = 57,823.93
  5. Step 5: Solve for x
    x = 57,823.93/252.92
  6. Step 6: Final answer
    x = 228.62

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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.