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Finding the Fourth Proportional to 201.65, 276.62 and 189.23

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Solution

The fourth proportional to 201.65, 276.62 and 189.23 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 276.62 = 189.23 : x
  2. Step 2: Convert to fraction form
    201.65/276.62 = 189.23/x
  3. Step 3: Cross multiply
    201.65x = 276.62 × 189.23
  4. Step 4: Simplify right side
    201.65x = 52,342.47
  5. Step 5: Solve for x
    x = 52,342.47/201.65
  6. Step 6: Final answer
    x = 259.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.