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Finding the Fourth Proportional to 254.80, 382.19 and 72.19

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Solution

The fourth proportional to 254.80, 382.19 and 72.19 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 382.19 = 72.19 : x
  2. Step 2: Convert to fraction form
    254.80/382.19 = 72.19/x
  3. Step 3: Cross multiply
    254.80x = 382.19 × 72.19
  4. Step 4: Simplify right side
    254.80x = 27,590.30
  5. Step 5: Solve for x
    x = 27,590.30/254.80
  6. Step 6: Final answer
    x = 108.28

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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.