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Finding the Fourth Proportional to 171.42, 236.07 and 157.74

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Solution

The fourth proportional to 171.42, 236.07 and 157.74 is: 217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 236.07 = 157.74 : x
  2. Step 2: Convert to fraction form
    171.42/236.07 = 157.74/x
  3. Step 3: Cross multiply
    171.42x = 236.07 × 157.74
  4. Step 4: Simplify right side
    171.42x = 37,237.68
  5. Step 5: Solve for x
    x = 37,237.68/171.42
  6. Step 6: Final answer
    x = 217.23

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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.