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Finding the Fourth Proportional to 252.75, 378.89 and 192.15

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Solution

The fourth proportional to 252.75, 378.89 and 192.15 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 378.89 = 192.15 : x
  2. Step 2: Convert to fraction form
    252.75/378.89 = 192.15/x
  3. Step 3: Cross multiply
    252.75x = 378.89 × 192.15
  4. Step 4: Simplify right side
    252.75x = 72,802.75
  5. Step 5: Solve for x
    x = 72,802.75/252.75
  6. Step 6: Final answer
    x = 288.04

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Why These Related Problems?

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