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Finding the Fourth Proportional to 201.69, 301.93 and 129.40

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Solution

The fourth proportional to 201.69, 301.93 and 129.40 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 301.93 = 129.40 : x
  2. Step 2: Convert to fraction form
    201.69/301.93 = 129.40/x
  3. Step 3: Cross multiply
    201.69x = 301.93 × 129.40
  4. Step 4: Simplify right side
    201.69x = 39,068.66
  5. Step 5: Solve for x
    x = 39,068.66/201.69
  6. Step 6: Final answer
    x = 193.71

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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.