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Finding the Fourth Proportional to 213.43, 294.01 and 147.82

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Solution

The fourth proportional to 213.43, 294.01 and 147.82 is: 203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.43 : 294.01 = 147.82 : x
  2. Step 2: Convert to fraction form
    213.43/294.01 = 147.82/x
  3. Step 3: Cross multiply
    213.43x = 294.01 × 147.82
  4. Step 4: Simplify right side
    213.43x = 43,460.56
  5. Step 5: Solve for x
    x = 43,460.56/213.43
  6. Step 6: Final answer
    x = 203.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.