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Finding the Fourth Proportional to 240.93, 361.80 and 193.14

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Solution

The fourth proportional to 240.93, 361.80 and 193.14 is: 290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.93 : 361.80 = 193.14 : x
  2. Step 2: Convert to fraction form
    240.93/361.80 = 193.14/x
  3. Step 3: Cross multiply
    240.93x = 361.80 × 193.14
  4. Step 4: Simplify right side
    240.93x = 69,878.05
  5. Step 5: Solve for x
    x = 69,878.05/240.93
  6. Step 6: Final answer
    x = 290.03

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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.