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Finding the Fourth Proportional to 203.61, 281.03 and 157.11

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Solution

The fourth proportional to 203.61, 281.03 and 157.11 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.61 : 281.03 = 157.11 : x
  2. Step 2: Convert to fraction form
    203.61/281.03 = 157.11/x
  3. Step 3: Cross multiply
    203.61x = 281.03 × 157.11
  4. Step 4: Simplify right side
    203.61x = 44,151.84
  5. Step 5: Solve for x
    x = 44,151.84/203.61
  6. Step 6: Final answer
    x = 216.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.