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Finding the Fourth Proportional to 277.67, 416.30 and 140.65

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Solution

The fourth proportional to 277.67, 416.30 and 140.65 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.30 = 140.65 : x
  2. Step 2: Convert to fraction form
    277.67/416.30 = 140.65/x
  3. Step 3: Cross multiply
    277.67x = 416.30 × 140.65
  4. Step 4: Simplify right side
    277.67x = 58,550.85
  5. Step 5: Solve for x
    x = 58,550.85/277.67
  6. Step 6: Final answer
    x = 210.86

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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.