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Finding the Fourth Proportional to 213.21, 319.60 and 144.74

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Solution

The fourth proportional to 213.21, 319.60 and 144.74 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.21 : 319.60 = 144.74 : x
  2. Step 2: Convert to fraction form
    213.21/319.60 = 144.74/x
  3. Step 3: Cross multiply
    213.21x = 319.60 × 144.74
  4. Step 4: Simplify right side
    213.21x = 46,258.18
  5. Step 5: Solve for x
    x = 46,258.18/213.21
  6. Step 6: Final answer
    x = 216.96

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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.