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Finding the Fourth Proportional to 344.36, 475.14 and 204.46

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Solution

The fourth proportional to 344.36, 475.14 and 204.46 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 475.14 = 204.46 : x
  2. Step 2: Convert to fraction form
    344.36/475.14 = 204.46/x
  3. Step 3: Cross multiply
    344.36x = 475.14 × 204.46
  4. Step 4: Simplify right side
    344.36x = 97,146.70
  5. Step 5: Solve for x
    x = 97,146.70/344.36
  6. Step 6: Final answer
    x = 282.11

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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.