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Finding the Fourth Proportional to 553.98, 830.94 and 169.23

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Solution

The fourth proportional to 553.98, 830.94 and 169.23 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 830.94 = 169.23 : x
  2. Step 2: Convert to fraction form
    553.98/830.94 = 169.23/x
  3. Step 3: Cross multiply
    553.98x = 830.94 × 169.23
  4. Step 4: Simplify right side
    553.98x = 140,619.98
  5. Step 5: Solve for x
    x = 140,619.98/553.98
  6. Step 6: Final answer
    x = 253.84

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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.