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Finding the Fourth Proportional to 201.19, 301.66 and 105.07

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Solution

The fourth proportional to 201.19, 301.66 and 105.07 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.19 : 301.66 = 105.07 : x
  2. Step 2: Convert to fraction form
    201.19/301.66 = 105.07/x
  3. Step 3: Cross multiply
    201.19x = 301.66 × 105.07
  4. Step 4: Simplify right side
    201.19x = 31,695.42
  5. Step 5: Solve for x
    x = 31,695.42/201.19
  6. Step 6: Final answer
    x = 157.54

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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.