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Finding the Fourth Proportional to 200.98, 300.90 and 135.79

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Solution

The fourth proportional to 200.98, 300.90 and 135.79 is: 203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 300.90 = 135.79 : x
  2. Step 2: Convert to fraction form
    200.98/300.90 = 135.79/x
  3. Step 3: Cross multiply
    200.98x = 300.90 × 135.79
  4. Step 4: Simplify right side
    200.98x = 40,859.21
  5. Step 5: Solve for x
    x = 40,859.21/200.98
  6. Step 6: Final answer
    x = 203.30

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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.