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Finding the Fourth Proportional to 200.89, 301.16 and 109.48

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Solution

The fourth proportional to 200.89, 301.16 and 109.48 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 301.16 = 109.48 : x
  2. Step 2: Convert to fraction form
    200.89/301.16 = 109.48/x
  3. Step 3: Cross multiply
    200.89x = 301.16 × 109.48
  4. Step 4: Simplify right side
    200.89x = 32,971.00
  5. Step 5: Solve for x
    x = 32,971.00/200.89
  6. Step 6: Final answer
    x = 164.12

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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.