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Finding the Fourth Proportional to 201.49, 277.68 and 157.75

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Solution

The fourth proportional to 201.49, 277.68 and 157.75 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.49 : 277.68 = 157.75 : x
  2. Step 2: Convert to fraction form
    201.49/277.68 = 157.75/x
  3. Step 3: Cross multiply
    201.49x = 277.68 × 157.75
  4. Step 4: Simplify right side
    201.49x = 43,804.02
  5. Step 5: Solve for x
    x = 43,804.02/201.49
  6. Step 6: Final answer
    x = 217.40

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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.