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Finding the Fourth Proportional to 326.47, 450.53 and 179.11

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Solution

The fourth proportional to 326.47, 450.53 and 179.11 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.47 : 450.53 = 179.11 : x
  2. Step 2: Convert to fraction form
    326.47/450.53 = 179.11/x
  3. Step 3: Cross multiply
    326.47x = 450.53 × 179.11
  4. Step 4: Simplify right side
    326.47x = 80,691.28
  5. Step 5: Solve for x
    x = 80,691.28/326.47
  6. Step 6: Final answer
    x = 247.16

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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.