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Finding the Fourth Proportional to 303.61, 419.08 and 198.52

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Solution

The fourth proportional to 303.61, 419.08 and 198.52 is: 274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.61 : 419.08 = 198.52 : x
  2. Step 2: Convert to fraction form
    303.61/419.08 = 198.52/x
  3. Step 3: Cross multiply
    303.61x = 419.08 × 198.52
  4. Step 4: Simplify right side
    303.61x = 83,195.76
  5. Step 5: Solve for x
    x = 83,195.76/303.61
  6. Step 6: Final answer
    x = 274.02

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Why These Related Problems?

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