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Finding the Fourth Proportional to 160.44, 220.95 and 150.11

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Solution

The fourth proportional to 160.44, 220.95 and 150.11 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 220.95 = 150.11 : x
  2. Step 2: Convert to fraction form
    160.44/220.95 = 150.11/x
  3. Step 3: Cross multiply
    160.44x = 220.95 × 150.11
  4. Step 4: Simplify right side
    160.44x = 33,166.80
  5. Step 5: Solve for x
    x = 33,166.80/160.44
  6. Step 6: Final answer
    x = 206.72

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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.