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Finding the Fourth Proportional to 201.99, 278.74 and 114.69

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Solution

The fourth proportional to 201.99, 278.74 and 114.69 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 278.74 = 114.69 : x
  2. Step 2: Convert to fraction form
    201.99/278.74 = 114.69/x
  3. Step 3: Cross multiply
    201.99x = 278.74 × 114.69
  4. Step 4: Simplify right side
    201.99x = 31,968.69
  5. Step 5: Solve for x
    x = 31,968.69/201.99
  6. Step 6: Final answer
    x = 158.27

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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.