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Finding the Fourth Proportional to 201.45, 277.84 and 148.97

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Solution

The fourth proportional to 201.45, 277.84 and 148.97 is: 205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 277.84 = 148.97 : x
  2. Step 2: Convert to fraction form
    201.45/277.84 = 148.97/x
  3. Step 3: Cross multiply
    201.45x = 277.84 × 148.97
  4. Step 4: Simplify right side
    201.45x = 41,389.82
  5. Step 5: Solve for x
    x = 41,389.82/201.45
  6. Step 6: Final answer
    x = 205.46

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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.