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Finding the Fourth Proportional to 246.02, 338.85 and 180.41

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Solution

The fourth proportional to 246.02, 338.85 and 180.41 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.02 : 338.85 = 180.41 : x
  2. Step 2: Convert to fraction form
    246.02/338.85 = 180.41/x
  3. Step 3: Cross multiply
    246.02x = 338.85 × 180.41
  4. Step 4: Simplify right side
    246.02x = 61,130.23
  5. Step 5: Solve for x
    x = 61,130.23/246.02
  6. Step 6: Final answer
    x = 248.48

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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.