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Finding the Fourth Proportional to 326.64, 450.46 and 202.16

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Solution

The fourth proportional to 326.64, 450.46 and 202.16 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.64 : 450.46 = 202.16 : x
  2. Step 2: Convert to fraction form
    326.64/450.46 = 202.16/x
  3. Step 3: Cross multiply
    326.64x = 450.46 × 202.16
  4. Step 4: Simplify right side
    326.64x = 91,064.99
  5. Step 5: Solve for x
    x = 91,064.99/326.64
  6. Step 6: Final answer
    x = 278.79

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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.