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Finding the Fourth Proportional to 213.07, 294.31 and 193.41

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Solution

The fourth proportional to 213.07, 294.31 and 193.41 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 294.31 = 193.41 : x
  2. Step 2: Convert to fraction form
    213.07/294.31 = 193.41/x
  3. Step 3: Cross multiply
    213.07x = 294.31 × 193.41
  4. Step 4: Simplify right side
    213.07x = 56,922.50
  5. Step 5: Solve for x
    x = 56,922.50/213.07
  6. Step 6: Final answer
    x = 267.15

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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.