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Finding the Fourth Proportional to 192.83, 266.21 and 127.46

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Solution

The fourth proportional to 192.83, 266.21 and 127.46 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 266.21 = 127.46 : x
  2. Step 2: Convert to fraction form
    192.83/266.21 = 127.46/x
  3. Step 3: Cross multiply
    192.83x = 266.21 × 127.46
  4. Step 4: Simplify right side
    192.83x = 33,929.16
  5. Step 5: Solve for x
    x = 33,929.16/192.83
  6. Step 6: Final answer
    x = 175.96

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