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Finding the Fourth Proportional to 326.95, 490.23 and 153.66

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Solution

The fourth proportional to 326.95, 490.23 and 153.66 is: 230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.95 : 490.23 = 153.66 : x
  2. Step 2: Convert to fraction form
    326.95/490.23 = 153.66/x
  3. Step 3: Cross multiply
    326.95x = 490.23 × 153.66
  4. Step 4: Simplify right side
    326.95x = 75,326.01
  5. Step 5: Solve for x
    x = 75,326.01/326.95
  6. Step 6: Final answer
    x = 230.39

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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.