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Finding the Fourth Proportional to 326.58, 450.22 and 202.18

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Solution

The fourth proportional to 326.58, 450.22 and 202.18 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.58 : 450.22 = 202.18 : x
  2. Step 2: Convert to fraction form
    326.58/450.22 = 202.18/x
  3. Step 3: Cross multiply
    326.58x = 450.22 × 202.18
  4. Step 4: Simplify right side
    326.58x = 91,024.50
  5. Step 5: Solve for x
    x = 91,024.50/326.58
  6. Step 6: Final answer
    x = 278.72

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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.