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Finding the Fourth Proportional to 201.85, 278.32 and 165.81

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Solution

The fourth proportional to 201.85, 278.32 and 165.81 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.85 : 278.32 = 165.81 : x
  2. Step 2: Convert to fraction form
    201.85/278.32 = 165.81/x
  3. Step 3: Cross multiply
    201.85x = 278.32 × 165.81
  4. Step 4: Simplify right side
    201.85x = 46,147.41
  5. Step 5: Solve for x
    x = 46,147.41/201.85
  6. Step 6: Final answer
    x = 228.63

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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.