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Finding the Fourth Proportional to 192.06, 265.13 and 126.45

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Solution

The fourth proportional to 192.06, 265.13 and 126.45 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 265.13 = 126.45 : x
  2. Step 2: Convert to fraction form
    192.06/265.13 = 126.45/x
  3. Step 3: Cross multiply
    192.06x = 265.13 × 126.45
  4. Step 4: Simplify right side
    192.06x = 33,525.06
  5. Step 5: Solve for x
    x = 33,525.06/192.06
  6. Step 6: Final answer
    x = 174.56

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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.