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Finding the Fourth Proportional to 143.21, 213.58 and 133.49

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Solution

The fourth proportional to 143.21, 213.58 and 133.49 is: 199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.21 : 213.58 = 133.49 : x
  2. Step 2: Convert to fraction form
    143.21/213.58 = 133.49/x
  3. Step 3: Cross multiply
    143.21x = 213.58 × 133.49
  4. Step 4: Simplify right side
    143.21x = 28,510.79
  5. Step 5: Solve for x
    x = 28,510.79/143.21
  6. Step 6: Final answer
    x = 199.08

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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.