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Finding the Fourth Proportional to 213.64, 294.84 and 130.73

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Solution

The fourth proportional to 213.64, 294.84 and 130.73 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 294.84 = 130.73 : x
  2. Step 2: Convert to fraction form
    213.64/294.84 = 130.73/x
  3. Step 3: Cross multiply
    213.64x = 294.84 × 130.73
  4. Step 4: Simplify right side
    213.64x = 38,544.43
  5. Step 5: Solve for x
    x = 38,544.43/213.64
  6. Step 6: Final answer
    x = 180.42

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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.