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Finding the Fourth Proportional to 277.97, 383.47 and 161.47

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Solution

The fourth proportional to 277.97, 383.47 and 161.47 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 383.47 = 161.47 : x
  2. Step 2: Convert to fraction form
    277.97/383.47 = 161.47/x
  3. Step 3: Cross multiply
    277.97x = 383.47 × 161.47
  4. Step 4: Simplify right side
    277.97x = 61,918.90
  5. Step 5: Solve for x
    x = 61,918.90/277.97
  6. Step 6: Final answer
    x = 222.75

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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.