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Finding the Fourth Proportional to 303.66, 455.07 and 199.32

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Solution

The fourth proportional to 303.66, 455.07 and 199.32 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.66 : 455.07 = 199.32 : x
  2. Step 2: Convert to fraction form
    303.66/455.07 = 199.32/x
  3. Step 3: Cross multiply
    303.66x = 455.07 × 199.32
  4. Step 4: Simplify right side
    303.66x = 90,704.55
  5. Step 5: Solve for x
    x = 90,704.55/303.66
  6. Step 6: Final answer
    x = 298.70

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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.