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Finding the Fourth Proportional to 213.87, 295.14 and 126.51

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Solution

The fourth proportional to 213.87, 295.14 and 126.51 is: 174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 295.14 = 126.51 : x
  2. Step 2: Convert to fraction form
    213.87/295.14 = 126.51/x
  3. Step 3: Cross multiply
    213.87x = 295.14 × 126.51
  4. Step 4: Simplify right side
    213.87x = 37,338.16
  5. Step 5: Solve for x
    x = 37,338.16/213.87
  6. Step 6: Final answer
    x = 174.58

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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.