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Finding the Fourth Proportional to 277.85, 383.31 and 167.33

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Solution

The fourth proportional to 277.85, 383.31 and 167.33 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 383.31 = 167.33 : x
  2. Step 2: Convert to fraction form
    277.85/383.31 = 167.33/x
  3. Step 3: Cross multiply
    277.85x = 383.31 × 167.33
  4. Step 4: Simplify right side
    277.85x = 64,137.35
  5. Step 5: Solve for x
    x = 64,137.35/277.85
  6. Step 6: Final answer
    x = 230.84

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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.