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Finding the Fourth Proportional to 246.24, 339.53 and 204.12

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Solution

The fourth proportional to 246.24, 339.53 and 204.12 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.24 : 339.53 = 204.12 : x
  2. Step 2: Convert to fraction form
    246.24/339.53 = 204.12/x
  3. Step 3: Cross multiply
    246.24x = 339.53 × 204.12
  4. Step 4: Simplify right side
    246.24x = 69,303.84
  5. Step 5: Solve for x
    x = 69,303.84/246.24
  6. Step 6: Final answer
    x = 281.45

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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.