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Finding the Fourth Proportional to 312.51, 431.24 and 174.51

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Solution

The fourth proportional to 312.51, 431.24 and 174.51 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 431.24 = 174.51 : x
  2. Step 2: Convert to fraction form
    312.51/431.24 = 174.51/x
  3. Step 3: Cross multiply
    312.51x = 431.24 × 174.51
  4. Step 4: Simplify right side
    312.51x = 75,255.69
  5. Step 5: Solve for x
    x = 75,255.69/312.51
  6. Step 6: Final answer
    x = 240.81

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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.