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Finding the Fourth Proportional to 160.59, 221.49 and 119.22

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Solution

The fourth proportional to 160.59, 221.49 and 119.22 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 221.49 = 119.22 : x
  2. Step 2: Convert to fraction form
    160.59/221.49 = 119.22/x
  3. Step 3: Cross multiply
    160.59x = 221.49 × 119.22
  4. Step 4: Simplify right side
    160.59x = 26,406.04
  5. Step 5: Solve for x
    x = 26,406.04/160.59
  6. Step 6: Final answer
    x = 164.43

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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.