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Finding the Fourth Proportional to 277.96, 416.94 and 115.65

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Solution

The fourth proportional to 277.96, 416.94 and 115.65 is: 173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 416.94 = 115.65 : x
  2. Step 2: Convert to fraction form
    277.96/416.94 = 115.65/x
  3. Step 3: Cross multiply
    277.96x = 416.94 × 115.65
  4. Step 4: Simplify right side
    277.96x = 48,219.11
  5. Step 5: Solve for x
    x = 48,219.11/277.96
  6. Step 6: Final answer
    x = 173.48

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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.