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Finding the Fourth Proportional to 223.63, 334.94 and 204.32

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Solution

The fourth proportional to 223.63, 334.94 and 204.32 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 334.94 = 204.32 : x
  2. Step 2: Convert to fraction form
    223.63/334.94 = 204.32/x
  3. Step 3: Cross multiply
    223.63x = 334.94 × 204.32
  4. Step 4: Simplify right side
    223.63x = 68,434.76
  5. Step 5: Solve for x
    x = 68,434.76/223.63
  6. Step 6: Final answer
    x = 306.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.