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Finding the Fourth Proportional to 277.72, 383.13 and 161.22

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Solution

The fourth proportional to 277.72, 383.13 and 161.22 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 383.13 = 161.22 : x
  2. Step 2: Convert to fraction form
    277.72/383.13 = 161.22/x
  3. Step 3: Cross multiply
    277.72x = 383.13 × 161.22
  4. Step 4: Simplify right side
    277.72x = 61,768.22
  5. Step 5: Solve for x
    x = 61,768.22/277.72
  6. Step 6: Final answer
    x = 222.41

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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.