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Finding the Fourth Proportional to 261.72, 394.29 and 198

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Solution

The fourth proportional to 261.72, 394.29 and 198 is: 298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 394.29 = 198 : x
  2. Step 2: Convert to fraction form
    261.72/394.29 = 198/x
  3. Step 3: Cross multiply
    261.72x = 394.29 × 198
  4. Step 4: Simplify right side
    261.72x = 78,069.42
  5. Step 5: Solve for x
    x = 78,069.42/261.72
  6. Step 6: Final answer
    x = 298.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.