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Finding the Fourth Proportional to 213.63, 294.74 and 126.29

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Solution

The fourth proportional to 213.63, 294.74 and 126.29 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 294.74 = 126.29 : x
  2. Step 2: Convert to fraction form
    213.63/294.74 = 126.29/x
  3. Step 3: Cross multiply
    213.63x = 294.74 × 126.29
  4. Step 4: Simplify right side
    213.63x = 37,222.71
  5. Step 5: Solve for x
    x = 37,222.71/213.63
  6. Step 6: Final answer
    x = 174.24

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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.