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Finding the Fourth Proportional to 326.60, 490.18 and 153.46

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Solution

The fourth proportional to 326.60, 490.18 and 153.46 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 490.18 = 153.46 : x
  2. Step 2: Convert to fraction form
    326.60/490.18 = 153.46/x
  3. Step 3: Cross multiply
    326.60x = 490.18 × 153.46
  4. Step 4: Simplify right side
    326.60x = 75,223.02
  5. Step 5: Solve for x
    x = 75,223.02/326.60
  6. Step 6: Final answer
    x = 230.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.