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Finding the Fourth Proportional to 213.88, 320.66 and 145.30

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Solution

The fourth proportional to 213.88, 320.66 and 145.30 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 320.66 = 145.30 : x
  2. Step 2: Convert to fraction form
    213.88/320.66 = 145.30/x
  3. Step 3: Cross multiply
    213.88x = 320.66 × 145.30
  4. Step 4: Simplify right side
    213.88x = 46,591.90
  5. Step 5: Solve for x
    x = 46,591.90/213.88
  6. Step 6: Final answer
    x = 217.84

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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.