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Finding the Fourth Proportional to 200.33, 299.10 and 188.03

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Solution

The fourth proportional to 200.33, 299.10 and 188.03 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.33 : 299.10 = 188.03 : x
  2. Step 2: Convert to fraction form
    200.33/299.10 = 188.03/x
  3. Step 3: Cross multiply
    200.33x = 299.10 × 188.03
  4. Step 4: Simplify right side
    200.33x = 56,241.23
  5. Step 5: Solve for x
    x = 56,241.23/200.33
  6. Step 6: Final answer
    x = 280.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.