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Finding the Fourth Proportional to 203.34, 305.02 and 131.26

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Solution

The fourth proportional to 203.34, 305.02 and 131.26 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 305.02 = 131.26 : x
  2. Step 2: Convert to fraction form
    203.34/305.02 = 131.26/x
  3. Step 3: Cross multiply
    203.34x = 305.02 × 131.26
  4. Step 4: Simplify right side
    203.34x = 40,036.93
  5. Step 5: Solve for x
    x = 40,036.93/203.34
  6. Step 6: Final answer
    x = 196.90

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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.