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Finding the Fourth Proportional to 266.16, 398.46 and 198

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Solution

The fourth proportional to 266.16, 398.46 and 198 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 398.46 = 198 : x
  2. Step 2: Convert to fraction form
    266.16/398.46 = 198/x
  3. Step 3: Cross multiply
    266.16x = 398.46 × 198
  4. Step 4: Simplify right side
    266.16x = 78,895.08
  5. Step 5: Solve for x
    x = 78,895.08/266.16
  6. Step 6: Final answer
    x = 296.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.