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Finding the Fourth Proportional to 201.46, 277.99 and 114.12

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Solution

The fourth proportional to 201.46, 277.99 and 114.12 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 277.99 = 114.12 : x
  2. Step 2: Convert to fraction form
    201.46/277.99 = 114.12/x
  3. Step 3: Cross multiply
    201.46x = 277.99 × 114.12
  4. Step 4: Simplify right side
    201.46x = 31,724.22
  5. Step 5: Solve for x
    x = 31,724.22/201.46
  6. Step 6: Final answer
    x = 157.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.