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Finding the Fourth Proportional to 201.88, 278.56 and 123.18

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Solution

The fourth proportional to 201.88, 278.56 and 123.18 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 278.56 = 123.18 : x
  2. Step 2: Convert to fraction form
    201.88/278.56 = 123.18/x
  3. Step 3: Cross multiply
    201.88x = 278.56 × 123.18
  4. Step 4: Simplify right side
    201.88x = 34,313.02
  5. Step 5: Solve for x
    x = 34,313.02/201.88
  6. Step 6: Final answer
    x = 169.97

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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.