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Finding the Fourth Proportional to 203.44, 281.52 and 177.64

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Solution

The fourth proportional to 203.44, 281.52 and 177.64 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 281.52 = 177.64 : x
  2. Step 2: Convert to fraction form
    203.44/281.52 = 177.64/x
  3. Step 3: Cross multiply
    203.44x = 281.52 × 177.64
  4. Step 4: Simplify right side
    203.44x = 50,009.21
  5. Step 5: Solve for x
    x = 50,009.21/203.44
  6. Step 6: Final answer
    x = 245.82

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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.