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Finding the Fourth Proportional to 277.82, 416.82 and 133.46

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Solution

The fourth proportional to 277.82, 416.82 and 133.46 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 416.82 = 133.46 : x
  2. Step 2: Convert to fraction form
    277.82/416.82 = 133.46/x
  3. Step 3: Cross multiply
    277.82x = 416.82 × 133.46
  4. Step 4: Simplify right side
    277.82x = 55,628.80
  5. Step 5: Solve for x
    x = 55,628.80/277.82
  6. Step 6: Final answer
    x = 200.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.