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Finding the Fourth Proportional to 201.23, 277.43 and 165.65

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Solution

The fourth proportional to 201.23, 277.43 and 165.65 is: 228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 277.43 = 165.65 : x
  2. Step 2: Convert to fraction form
    201.23/277.43 = 165.65/x
  3. Step 3: Cross multiply
    201.23x = 277.43 × 165.65
  4. Step 4: Simplify right side
    201.23x = 45,956.28
  5. Step 5: Solve for x
    x = 45,956.28/201.23
  6. Step 6: Final answer
    x = 228.38

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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.