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Finding the Fourth Proportional to 277.71, 416.13 and 147.71

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Solution

The fourth proportional to 277.71, 416.13 and 147.71 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 416.13 = 147.71 : x
  2. Step 2: Convert to fraction form
    277.71/416.13 = 147.71/x
  3. Step 3: Cross multiply
    277.71x = 416.13 × 147.71
  4. Step 4: Simplify right side
    277.71x = 61,466.56
  5. Step 5: Solve for x
    x = 61,466.56/277.71
  6. Step 6: Final answer
    x = 221.33

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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.