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Finding the Fourth Proportional to 201.44, 278.08 and 145.48

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Solution

The fourth proportional to 201.44, 278.08 and 145.48 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 278.08 = 145.48 : x
  2. Step 2: Convert to fraction form
    201.44/278.08 = 145.48/x
  3. Step 3: Cross multiply
    201.44x = 278.08 × 145.48
  4. Step 4: Simplify right side
    201.44x = 40,455.08
  5. Step 5: Solve for x
    x = 40,455.08/201.44
  6. Step 6: Final answer
    x = 200.83

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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.