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Finding the Fourth Proportional to 195.26, 269.71 and 146.05

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Solution

The fourth proportional to 195.26, 269.71 and 146.05 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.26 : 269.71 = 146.05 : x
  2. Step 2: Convert to fraction form
    195.26/269.71 = 146.05/x
  3. Step 3: Cross multiply
    195.26x = 269.71 × 146.05
  4. Step 4: Simplify right side
    195.26x = 39,390.11
  5. Step 5: Solve for x
    x = 39,390.11/195.26
  6. Step 6: Final answer
    x = 201.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.