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Finding the Fourth Proportional to 313.92, 433.21 and 174.04

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Solution

The fourth proportional to 313.92, 433.21 and 174.04 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 433.21 = 174.04 : x
  2. Step 2: Convert to fraction form
    313.92/433.21 = 174.04/x
  3. Step 3: Cross multiply
    313.92x = 433.21 × 174.04
  4. Step 4: Simplify right side
    313.92x = 75,394.07
  5. Step 5: Solve for x
    x = 75,394.07/313.92
  6. Step 6: Final answer
    x = 240.17

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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.