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Finding the Fourth Proportional to 213.06, 294.06 and 130.20

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Solution

The fourth proportional to 213.06, 294.06 and 130.20 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 294.06 = 130.20 : x
  2. Step 2: Convert to fraction form
    213.06/294.06 = 130.20/x
  3. Step 3: Cross multiply
    213.06x = 294.06 × 130.20
  4. Step 4: Simplify right side
    213.06x = 38,286.61
  5. Step 5: Solve for x
    x = 38,286.61/213.06
  6. Step 6: Final answer
    x = 179.70

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