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Finding the Fourth Proportional to 240.65, 361.02 and 201.95

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Solution

The fourth proportional to 240.65, 361.02 and 201.95 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.65 : 361.02 = 201.95 : x
  2. Step 2: Convert to fraction form
    240.65/361.02 = 201.95/x
  3. Step 3: Cross multiply
    240.65x = 361.02 × 201.95
  4. Step 4: Simplify right side
    240.65x = 72,907.99
  5. Step 5: Solve for x
    x = 72,907.99/240.65
  6. Step 6: Final answer
    x = 302.96

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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.