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Finding the Fourth Proportional to 277.44, 382.77 and 166.83

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Solution

The fourth proportional to 277.44, 382.77 and 166.83 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 382.77 = 166.83 : x
  2. Step 2: Convert to fraction form
    277.44/382.77 = 166.83/x
  3. Step 3: Cross multiply
    277.44x = 382.77 × 166.83
  4. Step 4: Simplify right side
    277.44x = 63,857.52
  5. Step 5: Solve for x
    x = 63,857.52/277.44
  6. Step 6: Final answer
    x = 230.17

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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.