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Finding the Fourth Proportional to 218.85, 302.01 and 120.60

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Solution

The fourth proportional to 218.85, 302.01 and 120.60 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.85 : 302.01 = 120.60 : x
  2. Step 2: Convert to fraction form
    218.85/302.01 = 120.60/x
  3. Step 3: Cross multiply
    218.85x = 302.01 × 120.60
  4. Step 4: Simplify right side
    218.85x = 36,422.41
  5. Step 5: Solve for x
    x = 36,422.41/218.85
  6. Step 6: Final answer
    x = 166.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.