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Finding the Fourth Proportional to 213.90, 295.20 and 126.59

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Solution

The fourth proportional to 213.90, 295.20 and 126.59 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 295.20 = 126.59 : x
  2. Step 2: Convert to fraction form
    213.90/295.20 = 126.59/x
  3. Step 3: Cross multiply
    213.90x = 295.20 × 126.59
  4. Step 4: Simplify right side
    213.90x = 37,369.37
  5. Step 5: Solve for x
    x = 37,369.37/213.90
  6. Step 6: Final answer
    x = 174.70

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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.