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Finding the Fourth Proportional to 201.67, 302.51 and 109.33

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Solution

The fourth proportional to 201.67, 302.51 and 109.33 is: 164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 302.51 = 109.33 : x
  2. Step 2: Convert to fraction form
    201.67/302.51 = 109.33/x
  3. Step 3: Cross multiply
    201.67x = 302.51 × 109.33
  4. Step 4: Simplify right side
    201.67x = 33,072.87
  5. Step 5: Solve for x
    x = 33,072.87/201.67
  6. Step 6: Final answer
    x = 164.00

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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.