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Finding the Fourth Proportional to 246.05, 339.76 and 180.03

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Solution

The fourth proportional to 246.05, 339.76 and 180.03 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.05 : 339.76 = 180.03 : x
  2. Step 2: Convert to fraction form
    246.05/339.76 = 180.03/x
  3. Step 3: Cross multiply
    246.05x = 339.76 × 180.03
  4. Step 4: Simplify right side
    246.05x = 61,166.99
  5. Step 5: Solve for x
    x = 61,166.99/246.05
  6. Step 6: Final answer
    x = 248.60

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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.