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Finding the Fourth Proportional to 204.21, 304.67 and 170.19

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Solution

The fourth proportional to 204.21, 304.67 and 170.19 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 304.67 = 170.19 : x
  2. Step 2: Convert to fraction form
    204.21/304.67 = 170.19/x
  3. Step 3: Cross multiply
    204.21x = 304.67 × 170.19
  4. Step 4: Simplify right side
    204.21x = 51,850.94
  5. Step 5: Solve for x
    x = 51,850.94/204.21
  6. Step 6: Final answer
    x = 253.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.