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Finding the Fourth Proportional to 246.42, 368.27 and 200.84

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Solution

The fourth proportional to 246.42, 368.27 and 200.84 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.42 : 368.27 = 200.84 : x
  2. Step 2: Convert to fraction form
    246.42/368.27 = 200.84/x
  3. Step 3: Cross multiply
    246.42x = 368.27 × 200.84
  4. Step 4: Simplify right side
    246.42x = 73,960.50
  5. Step 5: Solve for x
    x = 73,960.50/246.42
  6. Step 6: Final answer
    x = 300.14

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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.