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Finding the Fourth Proportional to 218.34, 301.20 and 135.45

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Solution

The fourth proportional to 218.34, 301.20 and 135.45 is: 186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 301.20 = 135.45 : x
  2. Step 2: Convert to fraction form
    218.34/301.20 = 135.45/x
  3. Step 3: Cross multiply
    218.34x = 301.20 × 135.45
  4. Step 4: Simplify right side
    218.34x = 40,797.54
  5. Step 5: Solve for x
    x = 40,797.54/218.34
  6. Step 6: Final answer
    x = 186.85

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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.