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Finding the Fourth Proportional to 192.36, 265.45 and 113.69

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Solution

The fourth proportional to 192.36, 265.45 and 113.69 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 265.45 = 113.69 : x
  2. Step 2: Convert to fraction form
    192.36/265.45 = 113.69/x
  3. Step 3: Cross multiply
    192.36x = 265.45 × 113.69
  4. Step 4: Simplify right side
    192.36x = 30,179.01
  5. Step 5: Solve for x
    x = 30,179.01/192.36
  6. Step 6: Final answer
    x = 156.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.