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Finding the Fourth Proportional to 160.69, 241.08 and 120.19

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Solution

The fourth proportional to 160.69, 241.08 and 120.19 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.69 : 241.08 = 120.19 : x
  2. Step 2: Convert to fraction form
    160.69/241.08 = 120.19/x
  3. Step 3: Cross multiply
    160.69x = 241.08 × 120.19
  4. Step 4: Simplify right side
    160.69x = 28,975.41
  5. Step 5: Solve for x
    x = 28,975.41/160.69
  6. Step 6: Final answer
    x = 180.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.