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Finding the Fourth Proportional to 201.23, 301.90 and 98.51

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Solution

The fourth proportional to 201.23, 301.90 and 98.51 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 301.90 = 98.51 : x
  2. Step 2: Convert to fraction form
    201.23/301.90 = 98.51/x
  3. Step 3: Cross multiply
    201.23x = 301.90 × 98.51
  4. Step 4: Simplify right side
    201.23x = 29,740.68
  5. Step 5: Solve for x
    x = 29,740.68/201.23
  6. Step 6: Final answer
    x = 147.80

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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.