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Finding the Fourth Proportional to 246.87, 368.81 and 159.49

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Solution

The fourth proportional to 246.87, 368.81 and 159.49 is: 238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 368.81 = 159.49 : x
  2. Step 2: Convert to fraction form
    246.87/368.81 = 159.49/x
  3. Step 3: Cross multiply
    246.87x = 368.81 × 159.49
  4. Step 4: Simplify right side
    246.87x = 58,820.71
  5. Step 5: Solve for x
    x = 58,820.71/246.87
  6. Step 6: Final answer
    x = 238.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.