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Finding the Fourth Proportional to 361.30, 541.98 and 130.18

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Solution

The fourth proportional to 361.30, 541.98 and 130.18 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 541.98 = 130.18 : x
  2. Step 2: Convert to fraction form
    361.30/541.98 = 130.18/x
  3. Step 3: Cross multiply
    361.30x = 541.98 × 130.18
  4. Step 4: Simplify right side
    361.30x = 70,554.96
  5. Step 5: Solve for x
    x = 70,554.96/361.30
  6. Step 6: Final answer
    x = 195.28

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