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Finding the Fourth Proportional to 160.53, 221.10 and 138.66

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Solution

The fourth proportional to 160.53, 221.10 and 138.66 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 221.10 = 138.66 : x
  2. Step 2: Convert to fraction form
    160.53/221.10 = 138.66/x
  3. Step 3: Cross multiply
    160.53x = 221.10 × 138.66
  4. Step 4: Simplify right side
    160.53x = 30,657.73
  5. Step 5: Solve for x
    x = 30,657.73/160.53
  6. Step 6: Final answer
    x = 190.98

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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.