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Finding the Fourth Proportional to 238.50, 328.74 and 218.88

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Solution

The fourth proportional to 238.50, 328.74 and 218.88 is: 301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 328.74 = 218.88 : x
  2. Step 2: Convert to fraction form
    238.50/328.74 = 218.88/x
  3. Step 3: Cross multiply
    238.50x = 328.74 × 218.88
  4. Step 4: Simplify right side
    238.50x = 71,954.61
  5. Step 5: Solve for x
    x = 71,954.61/238.50
  6. Step 6: Final answer
    x = 301.70

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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.