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Finding the Fourth Proportional to 268.25, 401.96 and 131.25

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Solution

The fourth proportional to 268.25, 401.96 and 131.25 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.25 : 401.96 = 131.25 : x
  2. Step 2: Convert to fraction form
    268.25/401.96 = 131.25/x
  3. Step 3: Cross multiply
    268.25x = 401.96 × 131.25
  4. Step 4: Simplify right side
    268.25x = 52,756.59
  5. Step 5: Solve for x
    x = 52,756.59/268.25
  6. Step 6: Final answer
    x = 196.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.