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Finding the Fourth Proportional to 277.26, 382.86 and 190.14

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Solution

The fourth proportional to 277.26, 382.86 and 190.14 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 382.86 = 190.14 : x
  2. Step 2: Convert to fraction form
    277.26/382.86 = 190.14/x
  3. Step 3: Cross multiply
    277.26x = 382.86 × 190.14
  4. Step 4: Simplify right side
    277.26x = 72,797.00
  5. Step 5: Solve for x
    x = 72,797.00/277.26
  6. Step 6: Final answer
    x = 262.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.