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Finding the Fourth Proportional to 192.20, 287.62 and 127.16

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Solution

The fourth proportional to 192.20, 287.62 and 127.16 is: 190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 287.62 = 127.16 : x
  2. Step 2: Convert to fraction form
    192.20/287.62 = 127.16/x
  3. Step 3: Cross multiply
    192.20x = 287.62 × 127.16
  4. Step 4: Simplify right side
    192.20x = 36,573.76
  5. Step 5: Solve for x
    x = 36,573.76/192.20
  6. Step 6: Final answer
    x = 190.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.