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Finding the Fourth Proportional to 204.21, 304.65 and 173.43

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Solution

The fourth proportional to 204.21, 304.65 and 173.43 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 304.65 = 173.43 : x
  2. Step 2: Convert to fraction form
    204.21/304.65 = 173.43/x
  3. Step 3: Cross multiply
    204.21x = 304.65 × 173.43
  4. Step 4: Simplify right side
    204.21x = 52,835.45
  5. Step 5: Solve for x
    x = 52,835.45/204.21
  6. Step 6: Final answer
    x = 258.73

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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.