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Finding the Fourth Proportional to 192.54, 265.76 and 127.14

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Solution

The fourth proportional to 192.54, 265.76 and 127.14 is: 175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 265.76 = 127.14 : x
  2. Step 2: Convert to fraction form
    192.54/265.76 = 127.14/x
  3. Step 3: Cross multiply
    192.54x = 265.76 × 127.14
  4. Step 4: Simplify right side
    192.54x = 33,788.73
  5. Step 5: Solve for x
    x = 33,788.73/192.54
  6. Step 6: Final answer
    x = 175.49

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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.