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Finding the Fourth Proportional to 245.78, 339.26 and 146.24

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Solution

The fourth proportional to 245.78, 339.26 and 146.24 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 339.26 = 146.24 : x
  2. Step 2: Convert to fraction form
    245.78/339.26 = 146.24/x
  3. Step 3: Cross multiply
    245.78x = 339.26 × 146.24
  4. Step 4: Simplify right side
    245.78x = 49,610.95
  5. Step 5: Solve for x
    x = 49,610.95/245.78
  6. Step 6: Final answer
    x = 201.86

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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.