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Finding the Fourth Proportional to 557.24, 835.97 and 167.22

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Solution

The fourth proportional to 557.24, 835.97 and 167.22 is: 250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.24 : 835.97 = 167.22 : x
  2. Step 2: Convert to fraction form
    557.24/835.97 = 167.22/x
  3. Step 3: Cross multiply
    557.24x = 835.97 × 167.22
  4. Step 4: Simplify right side
    557.24x = 139,793.41
  5. Step 5: Solve for x
    x = 139,793.41/557.24
  6. Step 6: Final answer
    x = 250.87

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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.