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Finding the Fourth Proportional to 171.01, 237.07 and 161.77

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Solution

The fourth proportional to 171.01, 237.07 and 161.77 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.01 : 237.07 = 161.77 : x
  2. Step 2: Convert to fraction form
    171.01/237.07 = 161.77/x
  3. Step 3: Cross multiply
    171.01x = 237.07 × 161.77
  4. Step 4: Simplify right side
    171.01x = 38,350.81
  5. Step 5: Solve for x
    x = 38,350.81/171.01
  6. Step 6: Final answer
    x = 224.26

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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.