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Finding the Fourth Proportional to 204.84, 305.82 and 172.44

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Solution

The fourth proportional to 204.84, 305.82 and 172.44 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 305.82 = 172.44 : x
  2. Step 2: Convert to fraction form
    204.84/305.82 = 172.44/x
  3. Step 3: Cross multiply
    204.84x = 305.82 × 172.44
  4. Step 4: Simplify right side
    204.84x = 52,735.60
  5. Step 5: Solve for x
    x = 52,735.60/204.84
  6. Step 6: Final answer
    x = 257.45

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Why These Related Problems?

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