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Finding the Fourth Proportional to 159.99, 220.86 and 139.29

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Solution

The fourth proportional to 159.99, 220.86 and 139.29 is: 192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.99 : 220.86 = 139.29 : x
  2. Step 2: Convert to fraction form
    159.99/220.86 = 139.29/x
  3. Step 3: Cross multiply
    159.99x = 220.86 × 139.29
  4. Step 4: Simplify right side
    159.99x = 30,763.59
  5. Step 5: Solve for x
    x = 30,763.59/159.99
  6. Step 6: Final answer
    x = 192.28

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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.