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Finding the Fourth Proportional to 171.53, 237.00 and 161.26

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Solution

The fourth proportional to 171.53, 237.00 and 161.26 is: 222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.53 : 237.00 = 161.26 : x
  2. Step 2: Convert to fraction form
    171.53/237.00 = 161.26/x
  3. Step 3: Cross multiply
    171.53x = 237.00 × 161.26
  4. Step 4: Simplify right side
    171.53x = 38,218.63
  5. Step 5: Solve for x
    x = 38,218.63/171.53
  6. Step 6: Final answer
    x = 222.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.