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Finding the Fourth Proportional to 246.72, 370.14 and 201.49

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Solution

The fourth proportional to 246.72, 370.14 and 201.49 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.72 : 370.14 = 201.49 : x
  2. Step 2: Convert to fraction form
    246.72/370.14 = 201.49/x
  3. Step 3: Cross multiply
    246.72x = 370.14 × 201.49
  4. Step 4: Simplify right side
    246.72x = 74,579.51
  5. Step 5: Solve for x
    x = 74,579.51/246.72
  6. Step 6: Final answer
    x = 302.29

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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.