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Finding the Fourth Proportional to 192.36, 289.97 and 160.50

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Solution

The fourth proportional to 192.36, 289.97 and 160.50 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 289.97 = 160.50 : x
  2. Step 2: Convert to fraction form
    192.36/289.97 = 160.50/x
  3. Step 3: Cross multiply
    192.36x = 289.97 × 160.50
  4. Step 4: Simplify right side
    192.36x = 46,540.19
  5. Step 5: Solve for x
    x = 46,540.19/192.36
  6. Step 6: Final answer
    x = 241.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.