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Finding the Fourth Proportional to 262.41, 361.73 and 187.55

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Solution

The fourth proportional to 262.41, 361.73 and 187.55 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 361.73 = 187.55 : x
  2. Step 2: Convert to fraction form
    262.41/361.73 = 187.55/x
  3. Step 3: Cross multiply
    262.41x = 361.73 × 187.55
  4. Step 4: Simplify right side
    262.41x = 67,842.48
  5. Step 5: Solve for x
    x = 67,842.48/262.41
  6. Step 6: Final answer
    x = 258.54

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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.