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Finding the Fourth Proportional to 238.99, 329.84 and 165.40

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Solution

The fourth proportional to 238.99, 329.84 and 165.40 is: 228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.99 : 329.84 = 165.40 : x
  2. Step 2: Convert to fraction form
    238.99/329.84 = 165.40/x
  3. Step 3: Cross multiply
    238.99x = 329.84 × 165.40
  4. Step 4: Simplify right side
    238.99x = 54,554.30
  5. Step 5: Solve for x
    x = 54,554.30/238.99
  6. Step 6: Final answer
    x = 228.27

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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.