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Finding the Fourth Proportional to 326.50, 450.57 and 179.13

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Solution

The fourth proportional to 326.50, 450.57 and 179.13 is: 247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.57 = 179.13 : x
  2. Step 2: Convert to fraction form
    326.50/450.57 = 179.13/x
  3. Step 3: Cross multiply
    326.50x = 450.57 × 179.13
  4. Step 4: Simplify right side
    326.50x = 80,710.83
  5. Step 5: Solve for x
    x = 80,710.83/326.50
  6. Step 6: Final answer
    x = 247.20

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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.