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Finding the Fourth Proportional to 294.16, 405.91 and 168.12

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Solution

The fourth proportional to 294.16, 405.91 and 168.12 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 405.91 = 168.12 : x
  2. Step 2: Convert to fraction form
    294.16/405.91 = 168.12/x
  3. Step 3: Cross multiply
    294.16x = 405.91 × 168.12
  4. Step 4: Simplify right side
    294.16x = 68,241.59
  5. Step 5: Solve for x
    x = 68,241.59/294.16
  6. Step 6: Final answer
    x = 231.99

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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.