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Finding the Fourth Proportional to 159.77, 240.49 and 121.73

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Solution

The fourth proportional to 159.77, 240.49 and 121.73 is: 183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 240.49 = 121.73 : x
  2. Step 2: Convert to fraction form
    159.77/240.49 = 121.73/x
  3. Step 3: Cross multiply
    159.77x = 240.49 × 121.73
  4. Step 4: Simplify right side
    159.77x = 29,274.82
  5. Step 5: Solve for x
    x = 29,274.82/159.77
  6. Step 6: Final answer
    x = 183.23

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