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Finding the Fourth Proportional to 294.76, 406.77 and 163.77

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Solution

The fourth proportional to 294.76, 406.77 and 163.77 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 406.77 = 163.77 : x
  2. Step 2: Convert to fraction form
    294.76/406.77 = 163.77/x
  3. Step 3: Cross multiply
    294.76x = 406.77 × 163.77
  4. Step 4: Simplify right side
    294.76x = 66,613.87
  5. Step 5: Solve for x
    x = 66,613.87/294.76
  6. Step 6: Final answer
    x = 225.99

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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.