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Finding the Fourth Proportional to 201.61, 278.21 and 114.29

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Solution

The fourth proportional to 201.61, 278.21 and 114.29 is: 157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 278.21 = 114.29 : x
  2. Step 2: Convert to fraction form
    201.61/278.21 = 114.29/x
  3. Step 3: Cross multiply
    201.61x = 278.21 × 114.29
  4. Step 4: Simplify right side
    201.61x = 31,795.23
  5. Step 5: Solve for x
    x = 31,795.23/201.61
  6. Step 6: Final answer
    x = 157.71

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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.