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Finding the Fourth Proportional to 270.74, 373.67 and 201.26

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Solution

The fourth proportional to 270.74, 373.67 and 201.26 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 373.67 = 201.26 : x
  2. Step 2: Convert to fraction form
    270.74/373.67 = 201.26/x
  3. Step 3: Cross multiply
    270.74x = 373.67 × 201.26
  4. Step 4: Simplify right side
    270.74x = 75,205.51
  5. Step 5: Solve for x
    x = 75,205.51/270.74
  6. Step 6: Final answer
    x = 277.78

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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.