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Finding the Fourth Proportional to 157.78, 237.67 and 121.96

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Solution

The fourth proportional to 157.78, 237.67 and 121.96 is: 183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 237.67 = 121.96 : x
  2. Step 2: Convert to fraction form
    157.78/237.67 = 121.96/x
  3. Step 3: Cross multiply
    157.78x = 237.67 × 121.96
  4. Step 4: Simplify right side
    157.78x = 28,986.23
  5. Step 5: Solve for x
    x = 28,986.23/157.78
  6. Step 6: Final answer
    x = 183.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.