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Finding the Fourth Proportional to 217.53, 326.12 and 120.07

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Solution

The fourth proportional to 217.53, 326.12 and 120.07 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 326.12 = 120.07 : x
  2. Step 2: Convert to fraction form
    217.53/326.12 = 120.07/x
  3. Step 3: Cross multiply
    217.53x = 326.12 × 120.07
  4. Step 4: Simplify right side
    217.53x = 39,155.60
  5. Step 5: Solve for x
    x = 39,155.60/217.53
  6. Step 6: Final answer
    x = 180.01

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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.