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Finding the Fourth Proportional to 277.78, 383.25 and 161.26

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Solution

The fourth proportional to 277.78, 383.25 and 161.26 is: 222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 383.25 = 161.26 : x
  2. Step 2: Convert to fraction form
    277.78/383.25 = 161.26/x
  3. Step 3: Cross multiply
    277.78x = 383.25 × 161.26
  4. Step 4: Simplify right side
    277.78x = 61,802.90
  5. Step 5: Solve for x
    x = 61,802.90/277.78
  6. Step 6: Final answer
    x = 222.49

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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.