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Finding the Fourth Proportional to 238.09, 328.08 and 229.99

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Solution

The fourth proportional to 238.09, 328.08 and 229.99 is: 316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.09 : 328.08 = 229.99 : x
  2. Step 2: Convert to fraction form
    238.09/328.08 = 229.99/x
  3. Step 3: Cross multiply
    238.09x = 328.08 × 229.99
  4. Step 4: Simplify right side
    238.09x = 75,455.12
  5. Step 5: Solve for x
    x = 75,455.12/238.09
  6. Step 6: Final answer
    x = 316.92

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