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Finding the Fourth Proportional to 213.93, 295.21 and 126.57

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Solution

The fourth proportional to 213.93, 295.21 and 126.57 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.93 : 295.21 = 126.57 : x
  2. Step 2: Convert to fraction form
    213.93/295.21 = 126.57/x
  3. Step 3: Cross multiply
    213.93x = 295.21 × 126.57
  4. Step 4: Simplify right side
    213.93x = 37,364.73
  5. Step 5: Solve for x
    x = 37,364.73/213.93
  6. Step 6: Final answer
    x = 174.66

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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.