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Finding the Fourth Proportional to 200.34, 300.62 and 109.03

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Solution

The fourth proportional to 200.34, 300.62 and 109.03 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 300.62 = 109.03 : x
  2. Step 2: Convert to fraction form
    200.34/300.62 = 109.03/x
  3. Step 3: Cross multiply
    200.34x = 300.62 × 109.03
  4. Step 4: Simplify right side
    200.34x = 32,776.60
  5. Step 5: Solve for x
    x = 32,776.60/200.34
  6. Step 6: Final answer
    x = 163.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.