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Finding the Fourth Proportional to 553.31, 829.96 and 168.56

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Solution

The fourth proportional to 553.31, 829.96 and 168.56 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.31 : 829.96 = 168.56 : x
  2. Step 2: Convert to fraction form
    553.31/829.96 = 168.56/x
  3. Step 3: Cross multiply
    553.31x = 829.96 × 168.56
  4. Step 4: Simplify right side
    553.31x = 139,898.06
  5. Step 5: Solve for x
    x = 139,898.06/553.31
  6. Step 6: Final answer
    x = 252.84

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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.