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Finding the Fourth Proportional to 246.04, 367.69 and 164.20

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Solution

The fourth proportional to 246.04, 367.69 and 164.20 is: 245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.04 : 367.69 = 164.20 : x
  2. Step 2: Convert to fraction form
    246.04/367.69 = 164.20/x
  3. Step 3: Cross multiply
    246.04x = 367.69 × 164.20
  4. Step 4: Simplify right side
    246.04x = 60,374.70
  5. Step 5: Solve for x
    x = 60,374.70/246.04
  6. Step 6: Final answer
    x = 245.39

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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.