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Finding the Fourth Proportional to 161.92, 241.66 and 157.60

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Solution

The fourth proportional to 161.92, 241.66 and 157.60 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 241.66 = 157.60 : x
  2. Step 2: Convert to fraction form
    161.92/241.66 = 157.60/x
  3. Step 3: Cross multiply
    161.92x = 241.66 × 157.60
  4. Step 4: Simplify right side
    161.92x = 38,085.62
  5. Step 5: Solve for x
    x = 38,085.62/161.92
  6. Step 6: Final answer
    x = 235.21

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Why These Related Problems?

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