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Finding the Fourth Proportional to 277.96, 383.64 and 167.44

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Solution

The fourth proportional to 277.96, 383.64 and 167.44 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 383.64 = 167.44 : x
  2. Step 2: Convert to fraction form
    277.96/383.64 = 167.44/x
  3. Step 3: Cross multiply
    277.96x = 383.64 × 167.44
  4. Step 4: Simplify right side
    277.96x = 64,236.68
  5. Step 5: Solve for x
    x = 64,236.68/277.96
  6. Step 6: Final answer
    x = 231.10

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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.