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Finding the Fourth Proportional to 218.70, 326.84 and 153.45

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Solution

The fourth proportional to 218.70, 326.84 and 153.45 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 326.84 = 153.45 : x
  2. Step 2: Convert to fraction form
    218.70/326.84 = 153.45/x
  3. Step 3: Cross multiply
    218.70x = 326.84 × 153.45
  4. Step 4: Simplify right side
    218.70x = 50,152.83
  5. Step 5: Solve for x
    x = 50,152.83/218.70
  6. Step 6: Final answer
    x = 229.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.