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Finding the Fourth Proportional to 201.07, 277.50 and 148.78

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Solution

The fourth proportional to 201.07, 277.50 and 148.78 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.07 : 277.50 = 148.78 : x
  2. Step 2: Convert to fraction form
    201.07/277.50 = 148.78/x
  3. Step 3: Cross multiply
    201.07x = 277.50 × 148.78
  4. Step 4: Simplify right side
    201.07x = 41,286.45
  5. Step 5: Solve for x
    x = 41,286.45/201.07
  6. Step 6: Final answer
    x = 205.33

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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.