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Finding the Fourth Proportional to 246.44, 368.91 and 159.60

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Solution

The fourth proportional to 246.44, 368.91 and 159.60 is: 238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.44 : 368.91 = 159.60 : x
  2. Step 2: Convert to fraction form
    246.44/368.91 = 159.60/x
  3. Step 3: Cross multiply
    246.44x = 368.91 × 159.60
  4. Step 4: Simplify right side
    246.44x = 58,878.04
  5. Step 5: Solve for x
    x = 58,878.04/246.44
  6. Step 6: Final answer
    x = 238.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.