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Finding the Fourth Proportional to 277.33, 382.67 and 179.22

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Solution

The fourth proportional to 277.33, 382.67 and 179.22 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.33 : 382.67 = 179.22 : x
  2. Step 2: Convert to fraction form
    277.33/382.67 = 179.22/x
  3. Step 3: Cross multiply
    277.33x = 382.67 × 179.22
  4. Step 4: Simplify right side
    277.33x = 68,582.12
  5. Step 5: Solve for x
    x = 68,582.12/277.33
  6. Step 6: Final answer
    x = 247.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.