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Finding the Fourth Proportional to 202.89, 305.87 and 174.23

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Solution

The fourth proportional to 202.89, 305.87 and 174.23 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 305.87 = 174.23 : x
  2. Step 2: Convert to fraction form
    202.89/305.87 = 174.23/x
  3. Step 3: Cross multiply
    202.89x = 305.87 × 174.23
  4. Step 4: Simplify right side
    202.89x = 53,289.33
  5. Step 5: Solve for x
    x = 53,289.33/202.89
  6. Step 6: Final answer
    x = 262.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.