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Finding the Fourth Proportional to 201.00, 277.38 and 118.09

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Solution

The fourth proportional to 201.00, 277.38 and 118.09 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.00 : 277.38 = 118.09 : x
  2. Step 2: Convert to fraction form
    201.00/277.38 = 118.09/x
  3. Step 3: Cross multiply
    201.00x = 277.38 × 118.09
  4. Step 4: Simplify right side
    201.00x = 32,756.15
  5. Step 5: Solve for x
    x = 32,756.15/201.00
  6. Step 6: Final answer
    x = 162.96

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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.