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Finding the Fourth Proportional to 301.80, 416.46 and 218.88

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Solution

The fourth proportional to 301.80, 416.46 and 218.88 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 416.46 = 218.88 : x
  2. Step 2: Convert to fraction form
    301.80/416.46 = 218.88/x
  3. Step 3: Cross multiply
    301.80x = 416.46 × 218.88
  4. Step 4: Simplify right side
    301.80x = 91,154.76
  5. Step 5: Solve for x
    x = 91,154.76/301.80
  6. Step 6: Final answer
    x = 302.04

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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.