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Finding the Fourth Proportional to 160.66, 221.76 and 119.34

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Solution

The fourth proportional to 160.66, 221.76 and 119.34 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.66 : 221.76 = 119.34 : x
  2. Step 2: Convert to fraction form
    160.66/221.76 = 119.34/x
  3. Step 3: Cross multiply
    160.66x = 221.76 × 119.34
  4. Step 4: Simplify right side
    160.66x = 26,464.84
  5. Step 5: Solve for x
    x = 26,464.84/160.66
  6. Step 6: Final answer
    x = 164.73

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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.