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Finding the Fourth Proportional to 246.94, 340.80 and 159.64

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Solution

The fourth proportional to 246.94, 340.80 and 159.64 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 340.80 = 159.64 : x
  2. Step 2: Convert to fraction form
    246.94/340.80 = 159.64/x
  3. Step 3: Cross multiply
    246.94x = 340.80 × 159.64
  4. Step 4: Simplify right side
    246.94x = 54,405.31
  5. Step 5: Solve for x
    x = 54,405.31/246.94
  6. Step 6: Final answer
    x = 220.32

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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.