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Finding the Fourth Proportional to 302.82, 418.22 and 229.32

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Solution

The fourth proportional to 302.82, 418.22 and 229.32 is: 316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.82 : 418.22 = 229.32 : x
  2. Step 2: Convert to fraction form
    302.82/418.22 = 229.32/x
  3. Step 3: Cross multiply
    302.82x = 418.22 × 229.32
  4. Step 4: Simplify right side
    302.82x = 95,905.06
  5. Step 5: Solve for x
    x = 95,905.06/302.82
  6. Step 6: Final answer
    x = 316.71

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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.