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Finding the Fourth Proportional to 213.90, 295.21 and 130.99

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Solution

The fourth proportional to 213.90, 295.21 and 130.99 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 295.21 = 130.99 : x
  2. Step 2: Convert to fraction form
    213.90/295.21 = 130.99/x
  3. Step 3: Cross multiply
    213.90x = 295.21 × 130.99
  4. Step 4: Simplify right side
    213.90x = 38,668.49
  5. Step 5: Solve for x
    x = 38,668.49/213.90
  6. Step 6: Final answer
    x = 180.78

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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.