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Finding the Fourth Proportional to 246.24, 367.66 and 212.04

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Solution

The fourth proportional to 246.24, 367.66 and 212.04 is: 316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.24 : 367.66 = 212.04 : x
  2. Step 2: Convert to fraction form
    246.24/367.66 = 212.04/x
  3. Step 3: Cross multiply
    246.24x = 367.66 × 212.04
  4. Step 4: Simplify right side
    246.24x = 77,958.63
  5. Step 5: Solve for x
    x = 77,958.63/246.24
  6. Step 6: Final answer
    x = 316.60

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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.