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Finding the Fourth Proportional to 239.21, 329.90 and 165.45

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Solution

The fourth proportional to 239.21, 329.90 and 165.45 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.21 : 329.90 = 165.45 : x
  2. Step 2: Convert to fraction form
    239.21/329.90 = 165.45/x
  3. Step 3: Cross multiply
    239.21x = 329.90 × 165.45
  4. Step 4: Simplify right side
    239.21x = 54,581.13
  5. Step 5: Solve for x
    x = 54,581.13/239.21
  6. Step 6: Final answer
    x = 228.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.