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Finding the Fourth Proportional to 201.58, 278.24 and 178.36

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Solution

The fourth proportional to 201.58, 278.24 and 178.36 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 278.24 = 178.36 : x
  2. Step 2: Convert to fraction form
    201.58/278.24 = 178.36/x
  3. Step 3: Cross multiply
    201.58x = 278.24 × 178.36
  4. Step 4: Simplify right side
    201.58x = 49,625.30
  5. Step 5: Solve for x
    x = 49,625.30/201.58
  6. Step 6: Final answer
    x = 246.18

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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.