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Finding the Fourth Proportional to 252.98, 379.66 and 192.04

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Solution

The fourth proportional to 252.98, 379.66 and 192.04 is: 288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.98 : 379.66 = 192.04 : x
  2. Step 2: Convert to fraction form
    252.98/379.66 = 192.04/x
  3. Step 3: Cross multiply
    252.98x = 379.66 × 192.04
  4. Step 4: Simplify right side
    252.98x = 72,909.91
  5. Step 5: Solve for x
    x = 72,909.91/252.98
  6. Step 6: Final answer
    x = 288.20

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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.