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Finding the Fourth Proportional to 198.54, 296.16 and 190.08

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Solution

The fourth proportional to 198.54, 296.16 and 190.08 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 296.16 = 190.08 : x
  2. Step 2: Convert to fraction form
    198.54/296.16 = 190.08/x
  3. Step 3: Cross multiply
    198.54x = 296.16 × 190.08
  4. Step 4: Simplify right side
    198.54x = 56,294.09
  5. Step 5: Solve for x
    x = 56,294.09/198.54
  6. Step 6: Final answer
    x = 283.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.