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Finding the Fourth Proportional to 135.98, 204.36 and 133.31

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Solution

The fourth proportional to 135.98, 204.36 and 133.31 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 204.36 = 133.31 : x
  2. Step 2: Convert to fraction form
    135.98/204.36 = 133.31/x
  3. Step 3: Cross multiply
    135.98x = 204.36 × 133.31
  4. Step 4: Simplify right side
    135.98x = 27,243.23
  5. Step 5: Solve for x
    x = 27,243.23/135.98
  6. Step 6: Final answer
    x = 200.35

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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.