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Finding the Fourth Proportional to 160.24, 220.33 and 136.83

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Solution

The fourth proportional to 160.24, 220.33 and 136.83 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 220.33 = 136.83 : x
  2. Step 2: Convert to fraction form
    160.24/220.33 = 136.83/x
  3. Step 3: Cross multiply
    160.24x = 220.33 × 136.83
  4. Step 4: Simplify right side
    160.24x = 30,147.75
  5. Step 5: Solve for x
    x = 30,147.75/160.24
  6. Step 6: Final answer
    x = 188.14

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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.