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Finding the Fourth Proportional to 326.12, 488.92 and 161.64

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Solution

The fourth proportional to 326.12, 488.92 and 161.64 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.12 : 488.92 = 161.64 : x
  2. Step 2: Convert to fraction form
    326.12/488.92 = 161.64/x
  3. Step 3: Cross multiply
    326.12x = 488.92 × 161.64
  4. Step 4: Simplify right side
    326.12x = 79,029.16
  5. Step 5: Solve for x
    x = 79,029.16/326.12
  6. Step 6: Final answer
    x = 242.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.