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Finding the Fourth Proportional to 277.56, 383.06 and 161.14

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Solution

The fourth proportional to 277.56, 383.06 and 161.14 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 383.06 = 161.14 : x
  2. Step 2: Convert to fraction form
    277.56/383.06 = 161.14/x
  3. Step 3: Cross multiply
    277.56x = 383.06 × 161.14
  4. Step 4: Simplify right side
    277.56x = 61,726.29
  5. Step 5: Solve for x
    x = 61,726.29/277.56
  6. Step 6: Final answer
    x = 222.39

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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.