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Finding the Fourth Proportional to 201.78, 278.10 and 178.16

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Solution

The fourth proportional to 201.78, 278.10 and 178.16 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.78 : 278.10 = 178.16 : x
  2. Step 2: Convert to fraction form
    201.78/278.10 = 178.16/x
  3. Step 3: Cross multiply
    201.78x = 278.10 × 178.16
  4. Step 4: Simplify right side
    201.78x = 49,544.91
  5. Step 5: Solve for x
    x = 49,544.91/201.78
  6. Step 6: Final answer
    x = 245.54

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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.