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Finding the Fourth Proportional to 158.14, 218.37 and 116.77

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Solution

The fourth proportional to 158.14, 218.37 and 116.77 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 218.37 = 116.77 : x
  2. Step 2: Convert to fraction form
    158.14/218.37 = 116.77/x
  3. Step 3: Cross multiply
    158.14x = 218.37 × 116.77
  4. Step 4: Simplify right side
    158.14x = 25,497.97
  5. Step 5: Solve for x
    x = 25,497.97/158.14
  6. Step 6: Final answer
    x = 161.24

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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.