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Finding the Fourth Proportional to 330.99, 495.87 and 193.65

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Solution

The fourth proportional to 330.99, 495.87 and 193.65 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 495.87 = 193.65 : x
  2. Step 2: Convert to fraction form
    330.99/495.87 = 193.65/x
  3. Step 3: Cross multiply
    330.99x = 495.87 × 193.65
  4. Step 4: Simplify right side
    330.99x = 96,025.23
  5. Step 5: Solve for x
    x = 96,025.23/330.99
  6. Step 6: Final answer
    x = 290.12

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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.