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Finding the Fourth Proportional to 204.19, 281.08 and 176.39

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Solution

The fourth proportional to 204.19, 281.08 and 176.39 is: 242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 281.08 = 176.39 : x
  2. Step 2: Convert to fraction form
    204.19/281.08 = 176.39/x
  3. Step 3: Cross multiply
    204.19x = 281.08 × 176.39
  4. Step 4: Simplify right side
    204.19x = 49,579.70
  5. Step 5: Solve for x
    x = 49,579.70/204.19
  6. Step 6: Final answer
    x = 242.81

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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.