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Finding the Fourth Proportional to 201.58, 301.93 and 105.19

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Solution

The fourth proportional to 201.58, 301.93 and 105.19 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 301.93 = 105.19 : x
  2. Step 2: Convert to fraction form
    201.58/301.93 = 105.19/x
  3. Step 3: Cross multiply
    201.58x = 301.93 × 105.19
  4. Step 4: Simplify right side
    201.58x = 31,759.00
  5. Step 5: Solve for x
    x = 31,759.00/201.58
  6. Step 6: Final answer
    x = 157.55

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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.