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Finding the Fourth Proportional to 236.96, 355.45 and 165.28

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Solution

The fourth proportional to 236.96, 355.45 and 165.28 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.96 : 355.45 = 165.28 : x
  2. Step 2: Convert to fraction form
    236.96/355.45 = 165.28/x
  3. Step 3: Cross multiply
    236.96x = 355.45 × 165.28
  4. Step 4: Simplify right side
    236.96x = 58,748.78
  5. Step 5: Solve for x
    x = 58,748.78/236.96
  6. Step 6: Final answer
    x = 247.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.