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Finding the Fourth Proportional to 268.78, 370.92 and 165.28

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Solution

The fourth proportional to 268.78, 370.92 and 165.28 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.78 : 370.92 = 165.28 : x
  2. Step 2: Convert to fraction form
    268.78/370.92 = 165.28/x
  3. Step 3: Cross multiply
    268.78x = 370.92 × 165.28
  4. Step 4: Simplify right side
    268.78x = 61,305.66
  5. Step 5: Solve for x
    x = 61,305.66/268.78
  6. Step 6: Final answer
    x = 228.09

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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.