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Finding the Fourth Proportional to 204.44, 281.42 and 176.50

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Solution

The fourth proportional to 204.44, 281.42 and 176.50 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 281.42 = 176.50 : x
  2. Step 2: Convert to fraction form
    204.44/281.42 = 176.50/x
  3. Step 3: Cross multiply
    204.44x = 281.42 × 176.50
  4. Step 4: Simplify right side
    204.44x = 49,670.63
  5. Step 5: Solve for x
    x = 49,670.63/204.44
  6. Step 6: Final answer
    x = 242.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.