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Finding the Fourth Proportional to 326.02, 488.67 and 133.42

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Solution

The fourth proportional to 326.02, 488.67 and 133.42 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.02 : 488.67 = 133.42 : x
  2. Step 2: Convert to fraction form
    326.02/488.67 = 133.42/x
  3. Step 3: Cross multiply
    326.02x = 488.67 × 133.42
  4. Step 4: Simplify right side
    326.02x = 65,198.35
  5. Step 5: Solve for x
    x = 65,198.35/326.02
  6. Step 6: Final answer
    x = 199.98

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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.