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Finding the Fourth Proportional to 303.72, 419.02 and 198.86

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Solution

The fourth proportional to 303.72, 419.02 and 198.86 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 419.02 = 198.86 : x
  2. Step 2: Convert to fraction form
    303.72/419.02 = 198.86/x
  3. Step 3: Cross multiply
    303.72x = 419.02 × 198.86
  4. Step 4: Simplify right side
    303.72x = 83,326.87
  5. Step 5: Solve for x
    x = 83,326.87/303.72
  6. Step 6: Final answer
    x = 274.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.