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Finding the Fourth Proportional to 201.99, 278.24 and 175.57

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Solution

The fourth proportional to 201.99, 278.24 and 175.57 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 278.24 = 175.57 : x
  2. Step 2: Convert to fraction form
    201.99/278.24 = 175.57/x
  3. Step 3: Cross multiply
    201.99x = 278.24 × 175.57
  4. Step 4: Simplify right side
    201.99x = 48,849.02
  5. Step 5: Solve for x
    x = 48,849.02/201.99
  6. Step 6: Final answer
    x = 241.83

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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.