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Finding the Fourth Proportional to 240.98, 361.56 and 96.80

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Solution

The fourth proportional to 240.98, 361.56 and 96.80 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 361.56 = 96.80 : x
  2. Step 2: Convert to fraction form
    240.98/361.56 = 96.80/x
  3. Step 3: Cross multiply
    240.98x = 361.56 × 96.80
  4. Step 4: Simplify right side
    240.98x = 34,999.01
  5. Step 5: Solve for x
    x = 34,999.01/240.98
  6. Step 6: Final answer
    x = 145.24

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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.