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Finding the Fourth Proportional to 144.24, 214.74 and 143.52

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Solution

The fourth proportional to 144.24, 214.74 and 143.52 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 214.74 = 143.52 : x
  2. Step 2: Convert to fraction form
    144.24/214.74 = 143.52/x
  3. Step 3: Cross multiply
    144.24x = 214.74 × 143.52
  4. Step 4: Simplify right side
    144.24x = 30,819.48
  5. Step 5: Solve for x
    x = 30,819.48/144.24
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.