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Finding the Fourth Proportional to 201.58, 301.93 and 108.74

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Solution

The fourth proportional to 201.58, 301.93 and 108.74 is: 162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 301.93 = 108.74 : x
  2. Step 2: Convert to fraction form
    201.58/301.93 = 108.74/x
  3. Step 3: Cross multiply
    201.58x = 301.93 × 108.74
  4. Step 4: Simplify right side
    201.58x = 32,832.35
  5. Step 5: Solve for x
    x = 32,832.35/201.58
  6. Step 6: Final answer
    x = 162.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.