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Finding the Fourth Proportional to 246.89, 340.69 and 147.30

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Solution

The fourth proportional to 246.89, 340.69 and 147.30 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.89 : 340.69 = 147.30 : x
  2. Step 2: Convert to fraction form
    246.89/340.69 = 147.30/x
  3. Step 3: Cross multiply
    246.89x = 340.69 × 147.30
  4. Step 4: Simplify right side
    246.89x = 50,183.23
  5. Step 5: Solve for x
    x = 50,183.23/246.89
  6. Step 6: Final answer
    x = 203.26

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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.