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Finding the Fourth Proportional to 218.10, 326.52 and 136.71

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Solution

The fourth proportional to 218.10, 326.52 and 136.71 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 326.52 = 136.71 : x
  2. Step 2: Convert to fraction form
    218.10/326.52 = 136.71/x
  3. Step 3: Cross multiply
    218.10x = 326.52 × 136.71
  4. Step 4: Simplify right side
    218.10x = 44,638.55
  5. Step 5: Solve for x
    x = 44,638.55/218.10
  6. Step 6: Final answer
    x = 204.67

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Why These Related Problems?

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