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Finding the Fourth Proportional to 192.04, 264.97 and 113.36

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Solution

The fourth proportional to 192.04, 264.97 and 113.36 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 264.97 = 113.36 : x
  2. Step 2: Convert to fraction form
    192.04/264.97 = 113.36/x
  3. Step 3: Cross multiply
    192.04x = 264.97 × 113.36
  4. Step 4: Simplify right side
    192.04x = 30,035.82
  5. Step 5: Solve for x
    x = 30,035.82/192.04
  6. Step 6: Final answer
    x = 156.41

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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.