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Finding the Fourth Proportional to 294.29, 406.12 and 163.30

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Solution

The fourth proportional to 294.29, 406.12 and 163.30 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.29 : 406.12 = 163.30 : x
  2. Step 2: Convert to fraction form
    294.29/406.12 = 163.30/x
  3. Step 3: Cross multiply
    294.29x = 406.12 × 163.30
  4. Step 4: Simplify right side
    294.29x = 66,319.40
  5. Step 5: Solve for x
    x = 66,319.40/294.29
  6. Step 6: Final answer
    x = 225.35

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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.