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Finding the Fourth Proportional to 277.77, 416.22 and 147.73

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Solution

The fourth proportional to 277.77, 416.22 and 147.73 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.77 : 416.22 = 147.73 : x
  2. Step 2: Convert to fraction form
    277.77/416.22 = 147.73/x
  3. Step 3: Cross multiply
    277.77x = 416.22 × 147.73
  4. Step 4: Simplify right side
    277.77x = 61,489.00
  5. Step 5: Solve for x
    x = 61,489.00/277.77
  6. Step 6: Final answer
    x = 221.37

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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.