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Finding the Fourth Proportional to 171.20, 236.10 and 158.12

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Solution

The fourth proportional to 171.20, 236.10 and 158.12 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 236.10 = 158.12 : x
  2. Step 2: Convert to fraction form
    171.20/236.10 = 158.12/x
  3. Step 3: Cross multiply
    171.20x = 236.10 × 158.12
  4. Step 4: Simplify right side
    171.20x = 37,332.13
  5. Step 5: Solve for x
    x = 37,332.13/171.20
  6. Step 6: Final answer
    x = 218.06

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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.