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Finding the Fourth Proportional to 157.94, 218.15 and 116.43

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Solution

The fourth proportional to 157.94, 218.15 and 116.43 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.94 : 218.15 = 116.43 : x
  2. Step 2: Convert to fraction form
    157.94/218.15 = 116.43/x
  3. Step 3: Cross multiply
    157.94x = 218.15 × 116.43
  4. Step 4: Simplify right side
    157.94x = 25,399.20
  5. Step 5: Solve for x
    x = 25,399.20/157.94
  6. Step 6: Final answer
    x = 160.82

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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.