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Finding the Fourth Proportional to 246, 368.68 and 137.84

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Solution

The fourth proportional to 246, 368.68 and 137.84 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246 : 368.68 = 137.84 : x
  2. Step 2: Convert to fraction form
    246/368.68 = 137.84/x
  3. Step 3: Cross multiply
    246x = 368.68 × 137.84
  4. Step 4: Simplify right side
    246x = 50,818.85
  5. Step 5: Solve for x
    x = 50,818.85/246
  6. Step 6: Final answer
    x = 206.58

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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.