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Finding the Fourth Proportional to 262.16, 361.79 and 145.73

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Solution

The fourth proportional to 262.16, 361.79 and 145.73 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 361.79 = 145.73 : x
  2. Step 2: Convert to fraction form
    262.16/361.79 = 145.73/x
  3. Step 3: Cross multiply
    262.16x = 361.79 × 145.73
  4. Step 4: Simplify right side
    262.16x = 52,723.66
  5. Step 5: Solve for x
    x = 52,723.66/262.16
  6. Step 6: Final answer
    x = 201.11

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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.