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Finding the Fourth Proportional to 213.94, 295.14 and 126.56

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Solution

The fourth proportional to 213.94, 295.14 and 126.56 is: 174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 295.14 = 126.56 : x
  2. Step 2: Convert to fraction form
    213.94/295.14 = 126.56/x
  3. Step 3: Cross multiply
    213.94x = 295.14 × 126.56
  4. Step 4: Simplify right side
    213.94x = 37,354.13
  5. Step 5: Solve for x
    x = 37,354.13/213.94
  6. Step 6: Final answer
    x = 174.60

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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.