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Finding the Fourth Proportional to 553.26, 829.87 and 168.50

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Solution

The fourth proportional to 553.26, 829.87 and 168.50 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 829.87 = 168.50 : x
  2. Step 2: Convert to fraction form
    553.26/829.87 = 168.50/x
  3. Step 3: Cross multiply
    553.26x = 829.87 × 168.50
  4. Step 4: Simplify right side
    553.26x = 139,833.10
  5. Step 5: Solve for x
    x = 139,833.10/553.26
  6. Step 6: Final answer
    x = 252.74

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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.