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Finding the Fourth Proportional to 198.63, 296.54 and 184.37

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Solution

The fourth proportional to 198.63, 296.54 and 184.37 is: 275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.63 : 296.54 = 184.37 : x
  2. Step 2: Convert to fraction form
    198.63/296.54 = 184.37/x
  3. Step 3: Cross multiply
    198.63x = 296.54 × 184.37
  4. Step 4: Simplify right side
    198.63x = 54,670.68
  5. Step 5: Solve for x
    x = 54,670.68/198.63
  6. Step 6: Final answer
    x = 275.24

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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.