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Finding the Fourth Proportional to 268.69, 370.97 and 165.25

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Solution

The fourth proportional to 268.69, 370.97 and 165.25 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.69 : 370.97 = 165.25 : x
  2. Step 2: Convert to fraction form
    268.69/370.97 = 165.25/x
  3. Step 3: Cross multiply
    268.69x = 370.97 × 165.25
  4. Step 4: Simplify right side
    268.69x = 61,301.97
  5. Step 5: Solve for x
    x = 61,301.97/268.69
  6. Step 6: Final answer
    x = 228.15

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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.