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Finding the Fourth Proportional to 550, 825 and 165.24

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Solution

The fourth proportional to 550, 825 and 165.24 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 825 = 165.24 : x
  2. Step 2: Convert to fraction form
    550/825 = 165.24/x
  3. Step 3: Cross multiply
    550x = 825 × 165.24
  4. Step 4: Simplify right side
    550x = 136,323
  5. Step 5: Solve for x
    x = 136,323/550
  6. Step 6: Final answer
    x = 247.86

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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.