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Finding the Fourth Proportional to 201.72, 277.81 and 174.07

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Solution

The fourth proportional to 201.72, 277.81 and 174.07 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 277.81 = 174.07 : x
  2. Step 2: Convert to fraction form
    201.72/277.81 = 174.07/x
  3. Step 3: Cross multiply
    201.72x = 277.81 × 174.07
  4. Step 4: Simplify right side
    201.72x = 48,360.06
  5. Step 5: Solve for x
    x = 48,360.06/201.72
  6. Step 6: Final answer
    x = 239.74

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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.