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Finding the Fourth Proportional to 361.95, 542.90 and 115.15

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Solution

The fourth proportional to 361.95, 542.90 and 115.15 is: 172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.95 : 542.90 = 115.15 : x
  2. Step 2: Convert to fraction form
    361.95/542.90 = 115.15/x
  3. Step 3: Cross multiply
    361.95x = 542.90 × 115.15
  4. Step 4: Simplify right side
    361.95x = 62,515.89
  5. Step 5: Solve for x
    x = 62,515.89/361.95
  6. Step 6: Final answer
    x = 172.72

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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.