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Finding the Fourth Proportional to 201.72, 277.74 and 178.06

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Solution

The fourth proportional to 201.72, 277.74 and 178.06 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 277.74 = 178.06 : x
  2. Step 2: Convert to fraction form
    201.72/277.74 = 178.06/x
  3. Step 3: Cross multiply
    201.72x = 277.74 × 178.06
  4. Step 4: Simplify right side
    201.72x = 49,454.38
  5. Step 5: Solve for x
    x = 49,454.38/201.72
  6. Step 6: Final answer
    x = 245.16

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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.