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Finding the Fourth Proportional to 201.41, 277.93 and 118.50

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Solution

The fourth proportional to 201.41, 277.93 and 118.50 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.41 : 277.93 = 118.50 : x
  2. Step 2: Convert to fraction form
    201.41/277.93 = 118.50/x
  3. Step 3: Cross multiply
    201.41x = 277.93 × 118.50
  4. Step 4: Simplify right side
    201.41x = 32,934.93
  5. Step 5: Solve for x
    x = 32,934.93/201.41
  6. Step 6: Final answer
    x = 163.52

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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.