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Finding the Fourth Proportional to 277.99, 382.82 and 238.33

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Solution

The fourth proportional to 277.99, 382.82 and 238.33 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 382.82 = 238.33 : x
  2. Step 2: Convert to fraction form
    277.99/382.82 = 238.33/x
  3. Step 3: Cross multiply
    277.99x = 382.82 × 238.33
  4. Step 4: Simplify right side
    277.99x = 91,237.49
  5. Step 5: Solve for x
    x = 91,237.49/277.99
  6. Step 6: Final answer
    x = 328.20

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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.