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Finding the Fourth Proportional to 277.99, 416.96 and 72.56

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Solution

The fourth proportional to 277.99, 416.96 and 72.56 is: 108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 416.96 = 72.56 : x
  2. Step 2: Convert to fraction form
    277.99/416.96 = 72.56/x
  3. Step 3: Cross multiply
    277.99x = 416.96 × 72.56
  4. Step 4: Simplify right side
    277.99x = 30,254.62
  5. Step 5: Solve for x
    x = 30,254.62/277.99
  6. Step 6: Final answer
    x = 108.83

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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.