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Finding the Fourth Proportional to 246.78, 340.67 and 159.50

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Solution

The fourth proportional to 246.78, 340.67 and 159.50 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.78 : 340.67 = 159.50 : x
  2. Step 2: Convert to fraction form
    246.78/340.67 = 159.50/x
  3. Step 3: Cross multiply
    246.78x = 340.67 × 159.50
  4. Step 4: Simplify right side
    246.78x = 54,338.12
  5. Step 5: Solve for x
    x = 54,338.12/246.78
  6. Step 6: Final answer
    x = 220.19

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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.