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Finding the Fourth Proportional to 201.14, 301.86 and 145.52

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Solution

The fourth proportional to 201.14, 301.86 and 145.52 is: 218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 301.86 = 145.52 : x
  2. Step 2: Convert to fraction form
    201.14/301.86 = 145.52/x
  3. Step 3: Cross multiply
    201.14x = 301.86 × 145.52
  4. Step 4: Simplify right side
    201.14x = 43,926.67
  5. Step 5: Solve for x
    x = 43,926.67/201.14
  6. Step 6: Final answer
    x = 218.39

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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.