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Finding the Fourth Proportional to 262.06, 360.93 and 196.45

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Solution

The fourth proportional to 262.06, 360.93 and 196.45 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.06 : 360.93 = 196.45 : x
  2. Step 2: Convert to fraction form
    262.06/360.93 = 196.45/x
  3. Step 3: Cross multiply
    262.06x = 360.93 × 196.45
  4. Step 4: Simplify right side
    262.06x = 70,904.70
  5. Step 5: Solve for x
    x = 70,904.70/262.06
  6. Step 6: Final answer
    x = 270.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.