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Finding the Fourth Proportional to 200.27, 300.33 and 70.23

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Solution

The fourth proportional to 200.27, 300.33 and 70.23 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 300.33 = 70.23 : x
  2. Step 2: Convert to fraction form
    200.27/300.33 = 70.23/x
  3. Step 3: Cross multiply
    200.27x = 300.33 × 70.23
  4. Step 4: Simplify right side
    200.27x = 21,092.18
  5. Step 5: Solve for x
    x = 21,092.18/200.27
  6. Step 6: Final answer
    x = 105.32

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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.