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Finding the Fourth Proportional to 399.30, 598.94 and 149.12

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Solution

The fourth proportional to 399.30, 598.94 and 149.12 is: 223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 598.94 = 149.12 : x
  2. Step 2: Convert to fraction form
    399.30/598.94 = 149.12/x
  3. Step 3: Cross multiply
    399.30x = 598.94 × 149.12
  4. Step 4: Simplify right side
    399.30x = 89,313.93
  5. Step 5: Solve for x
    x = 89,313.93/399.30
  6. Step 6: Final answer
    x = 223.68

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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.