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Finding the Fourth Proportional to 277.54, 383.01 and 161.11

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Solution

The fourth proportional to 277.54, 383.01 and 161.11 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 383.01 = 161.11 : x
  2. Step 2: Convert to fraction form
    277.54/383.01 = 161.11/x
  3. Step 3: Cross multiply
    277.54x = 383.01 × 161.11
  4. Step 4: Simplify right side
    277.54x = 61,706.74
  5. Step 5: Solve for x
    x = 61,706.74/277.54
  6. Step 6: Final answer
    x = 222.33

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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.