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Finding the Fourth Proportional to 146.25, 219.17 and 127.04

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Solution

The fourth proportional to 146.25, 219.17 and 127.04 is: 190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 219.17 = 127.04 : x
  2. Step 2: Convert to fraction form
    146.25/219.17 = 127.04/x
  3. Step 3: Cross multiply
    146.25x = 219.17 × 127.04
  4. Step 4: Simplify right side
    146.25x = 27,842.58
  5. Step 5: Solve for x
    x = 27,842.58/146.25
  6. Step 6: Final answer
    x = 190.38

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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.