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Finding the Fourth Proportional to 245.83, 339.24 and 146.27

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Solution

The fourth proportional to 245.83, 339.24 and 146.27 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.83 : 339.24 = 146.27 : x
  2. Step 2: Convert to fraction form
    245.83/339.24 = 146.27/x
  3. Step 3: Cross multiply
    245.83x = 339.24 × 146.27
  4. Step 4: Simplify right side
    245.83x = 49,620.63
  5. Step 5: Solve for x
    x = 49,620.63/245.83
  6. Step 6: Final answer
    x = 201.85

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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.