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Finding the Fourth Proportional to 218.40, 326.22 and 157.05

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Solution

The fourth proportional to 218.40, 326.22 and 157.05 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 326.22 = 157.05 : x
  2. Step 2: Convert to fraction form
    218.40/326.22 = 157.05/x
  3. Step 3: Cross multiply
    218.40x = 326.22 × 157.05
  4. Step 4: Simplify right side
    218.40x = 51,232.85
  5. Step 5: Solve for x
    x = 51,232.85/218.40
  6. Step 6: Final answer
    x = 234.58

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Why These Related Problems?

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