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Finding the Fourth Proportional to 201.84, 277.92 and 178.44

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Solution

The fourth proportional to 201.84, 277.92 and 178.44 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 277.92 = 178.44 : x
  2. Step 2: Convert to fraction form
    201.84/277.92 = 178.44/x
  3. Step 3: Cross multiply
    201.84x = 277.92 × 178.44
  4. Step 4: Simplify right side
    201.84x = 49,592.04
  5. Step 5: Solve for x
    x = 49,592.04/201.84
  6. Step 6: Final answer
    x = 245.70

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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.