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Finding the Fourth Proportional to 201.79, 277.72 and 158.05

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Solution

The fourth proportional to 201.79, 277.72 and 158.05 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.79 : 277.72 = 158.05 : x
  2. Step 2: Convert to fraction form
    201.79/277.72 = 158.05/x
  3. Step 3: Cross multiply
    201.79x = 277.72 × 158.05
  4. Step 4: Simplify right side
    201.79x = 43,893.65
  5. Step 5: Solve for x
    x = 43,893.65/201.79
  6. Step 6: Final answer
    x = 217.52

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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.