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Finding the Fourth Proportional to 277.96, 383.52 and 167.44

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Solution

The fourth proportional to 277.96, 383.52 and 167.44 is: 231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 383.52 = 167.44 : x
  2. Step 2: Convert to fraction form
    277.96/383.52 = 167.44/x
  3. Step 3: Cross multiply
    277.96x = 383.52 × 167.44
  4. Step 4: Simplify right side
    277.96x = 64,216.59
  5. Step 5: Solve for x
    x = 64,216.59/277.96
  6. Step 6: Final answer
    x = 231.03

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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.