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Finding the Fourth Proportional to 203.99, 305.64 and 158.42

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Solution

The fourth proportional to 203.99, 305.64 and 158.42 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.99 : 305.64 = 158.42 : x
  2. Step 2: Convert to fraction form
    203.99/305.64 = 158.42/x
  3. Step 3: Cross multiply
    203.99x = 305.64 × 158.42
  4. Step 4: Simplify right side
    203.99x = 48,420.25
  5. Step 5: Solve for x
    x = 48,420.25/203.99
  6. Step 6: Final answer
    x = 237.37

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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.