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Finding the Fourth Proportional to 161.05, 223.27 and 152.83

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Solution

The fourth proportional to 161.05, 223.27 and 152.83 is: 211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.05 : 223.27 = 152.83 : x
  2. Step 2: Convert to fraction form
    161.05/223.27 = 152.83/x
  3. Step 3: Cross multiply
    161.05x = 223.27 × 152.83
  4. Step 4: Simplify right side
    161.05x = 34,122.35
  5. Step 5: Solve for x
    x = 34,122.35/161.05
  6. Step 6: Final answer
    x = 211.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.