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Finding the Fourth Proportional to 201.95, 278.37 and 165.05

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Solution

The fourth proportional to 201.95, 278.37 and 165.05 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.95 : 278.37 = 165.05 : x
  2. Step 2: Convert to fraction form
    201.95/278.37 = 165.05/x
  3. Step 3: Cross multiply
    201.95x = 278.37 × 165.05
  4. Step 4: Simplify right side
    201.95x = 45,943.84
  5. Step 5: Solve for x
    x = 45,943.84/201.95
  6. Step 6: Final answer
    x = 227.50

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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.