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Finding the Fourth Proportional to 160.69, 240.14 and 119.65

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Solution

The fourth proportional to 160.69, 240.14 and 119.65 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.69 : 240.14 = 119.65 : x
  2. Step 2: Convert to fraction form
    160.69/240.14 = 119.65/x
  3. Step 3: Cross multiply
    160.69x = 240.14 × 119.65
  4. Step 4: Simplify right side
    160.69x = 28,732.75
  5. Step 5: Solve for x
    x = 28,732.75/160.69
  6. Step 6: Final answer
    x = 178.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.