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Finding the Fourth Proportional to 217.80, 326.10 and 145.50

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Solution

The fourth proportional to 217.80, 326.10 and 145.50 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 326.10 = 145.50 : x
  2. Step 2: Convert to fraction form
    217.80/326.10 = 145.50/x
  3. Step 3: Cross multiply
    217.80x = 326.10 × 145.50
  4. Step 4: Simplify right side
    217.80x = 47,447.55
  5. Step 5: Solve for x
    x = 47,447.55/217.80
  6. Step 6: Final answer
    x = 217.85

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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.