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Finding the Fourth Proportional to 245.06, 338.22 and 151.82

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Solution

The fourth proportional to 245.06, 338.22 and 151.82 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.06 : 338.22 = 151.82 : x
  2. Step 2: Convert to fraction form
    245.06/338.22 = 151.82/x
  3. Step 3: Cross multiply
    245.06x = 338.22 × 151.82
  4. Step 4: Simplify right side
    245.06x = 51,348.56
  5. Step 5: Solve for x
    x = 51,348.56/245.06
  6. Step 6: Final answer
    x = 209.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.