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Finding the Fourth Proportional to 159.77, 220.29 and 139.27

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Solution

The fourth proportional to 159.77, 220.29 and 139.27 is: 192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 220.29 = 139.27 : x
  2. Step 2: Convert to fraction form
    159.77/220.29 = 139.27/x
  3. Step 3: Cross multiply
    159.77x = 220.29 × 139.27
  4. Step 4: Simplify right side
    159.77x = 30,680.30
  5. Step 5: Solve for x
    x = 30,680.30/159.77
  6. Step 6: Final answer
    x = 192.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.