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Finding the Fourth Proportional to 201.06, 277.72 and 148.68

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Solution

The fourth proportional to 201.06, 277.72 and 148.68 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 277.72 = 148.68 : x
  2. Step 2: Convert to fraction form
    201.06/277.72 = 148.68/x
  3. Step 3: Cross multiply
    201.06x = 277.72 × 148.68
  4. Step 4: Simplify right side
    201.06x = 41,291.04
  5. Step 5: Solve for x
    x = 41,291.04/201.06
  6. Step 6: Final answer
    x = 205.37

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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.