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Finding the Fourth Proportional to 553.88, 830.96 and 169.13

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Solution

The fourth proportional to 553.88, 830.96 and 169.13 is: 253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 830.96 = 169.13 : x
  2. Step 2: Convert to fraction form
    553.88/830.96 = 169.13/x
  3. Step 3: Cross multiply
    553.88x = 830.96 × 169.13
  4. Step 4: Simplify right side
    553.88x = 140,535.26
  5. Step 5: Solve for x
    x = 140,535.26/553.88
  6. Step 6: Final answer
    x = 253.73

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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.