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Finding the Fourth Proportional to 192.58, 265.68 and 127.06

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Solution

The fourth proportional to 192.58, 265.68 and 127.06 is: 175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 265.68 = 127.06 : x
  2. Step 2: Convert to fraction form
    192.58/265.68 = 127.06/x
  3. Step 3: Cross multiply
    192.58x = 265.68 × 127.06
  4. Step 4: Simplify right side
    192.58x = 33,757.30
  5. Step 5: Solve for x
    x = 33,757.30/192.58
  6. Step 6: Final answer
    x = 175.29

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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.