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Finding the Fourth Proportional to 309.37, 463.43 and 161.11

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Solution

The fourth proportional to 309.37, 463.43 and 161.11 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.37 : 463.43 = 161.11 : x
  2. Step 2: Convert to fraction form
    309.37/463.43 = 161.11/x
  3. Step 3: Cross multiply
    309.37x = 463.43 × 161.11
  4. Step 4: Simplify right side
    309.37x = 74,663.21
  5. Step 5: Solve for x
    x = 74,663.21/309.37
  6. Step 6: Final answer
    x = 241.34

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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.