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Finding the Fourth Proportional to 246.23, 368.01 and 226.77

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Solution

The fourth proportional to 246.23, 368.01 and 226.77 is: 338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.23 : 368.01 = 226.77 : x
  2. Step 2: Convert to fraction form
    246.23/368.01 = 226.77/x
  3. Step 3: Cross multiply
    246.23x = 368.01 × 226.77
  4. Step 4: Simplify right side
    246.23x = 83,453.63
  5. Step 5: Solve for x
    x = 83,453.63/246.23
  6. Step 6: Final answer
    x = 338.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.