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Finding the Fourth Proportional to 157.82, 217.63 and 120.57

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Solution

The fourth proportional to 157.82, 217.63 and 120.57 is: 166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 217.63 = 120.57 : x
  2. Step 2: Convert to fraction form
    157.82/217.63 = 120.57/x
  3. Step 3: Cross multiply
    157.82x = 217.63 × 120.57
  4. Step 4: Simplify right side
    157.82x = 26,238.56
  5. Step 5: Solve for x
    x = 26,238.56/157.82
  6. Step 6: Final answer
    x = 166.26

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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.