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Finding the Fourth Proportional to 277.08, 382.28 and 166.60

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Solution

The fourth proportional to 277.08, 382.28 and 166.60 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 382.28 = 166.60 : x
  2. Step 2: Convert to fraction form
    277.08/382.28 = 166.60/x
  3. Step 3: Cross multiply
    277.08x = 382.28 × 166.60
  4. Step 4: Simplify right side
    277.08x = 63,687.85
  5. Step 5: Solve for x
    x = 63,687.85/277.08
  6. Step 6: Final answer
    x = 229.85

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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.