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Finding the Fourth Proportional to 238.64, 328.80 and 233.44

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Solution

The fourth proportional to 238.64, 328.80 and 233.44 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 328.80 = 233.44 : x
  2. Step 2: Convert to fraction form
    238.64/328.80 = 233.44/x
  3. Step 3: Cross multiply
    238.64x = 328.80 × 233.44
  4. Step 4: Simplify right side
    238.64x = 76,755.07
  5. Step 5: Solve for x
    x = 76,755.07/238.64
  6. Step 6: Final answer
    x = 321.64

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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.