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Finding the Fourth Proportional to 381.06, 570.57 and 198.08

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Solution

The fourth proportional to 381.06, 570.57 and 198.08 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 570.57 = 198.08 : x
  2. Step 2: Convert to fraction form
    381.06/570.57 = 198.08/x
  3. Step 3: Cross multiply
    381.06x = 570.57 × 198.08
  4. Step 4: Simplify right side
    381.06x = 113,018.51
  5. Step 5: Solve for x
    x = 113,018.51/381.06
  6. Step 6: Final answer
    x = 296.59

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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.