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Finding the Fourth Proportional to 277.57, 383.04 and 165.54

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Solution

The fourth proportional to 277.57, 383.04 and 165.54 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.57 : 383.04 = 165.54 : x
  2. Step 2: Convert to fraction form
    277.57/383.04 = 165.54/x
  3. Step 3: Cross multiply
    277.57x = 383.04 × 165.54
  4. Step 4: Simplify right side
    277.57x = 63,408.44
  5. Step 5: Solve for x
    x = 63,408.44/277.57
  6. Step 6: Final answer
    x = 228.44

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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.