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Finding the Fourth Proportional to 277.72, 416.44 and 133.36

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Solution

The fourth proportional to 277.72, 416.44 and 133.36 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 416.44 = 133.36 : x
  2. Step 2: Convert to fraction form
    277.72/416.44 = 133.36/x
  3. Step 3: Cross multiply
    277.72x = 416.44 × 133.36
  4. Step 4: Simplify right side
    277.72x = 55,536.44
  5. Step 5: Solve for x
    x = 55,536.44/277.72
  6. Step 6: Final answer
    x = 199.97

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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.