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Finding the Fourth Proportional to 212.81, 319.73 and 174.54

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Solution

The fourth proportional to 212.81, 319.73 and 174.54 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 319.73 = 174.54 : x
  2. Step 2: Convert to fraction form
    212.81/319.73 = 174.54/x
  3. Step 3: Cross multiply
    212.81x = 319.73 × 174.54
  4. Step 4: Simplify right side
    212.81x = 55,805.67
  5. Step 5: Solve for x
    x = 55,805.67/212.81
  6. Step 6: Final answer
    x = 262.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.