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Finding the Fourth Proportional to 213.46, 294.54 and 126.14

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Solution

The fourth proportional to 213.46, 294.54 and 126.14 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 294.54 = 126.14 : x
  2. Step 2: Convert to fraction form
    213.46/294.54 = 126.14/x
  3. Step 3: Cross multiply
    213.46x = 294.54 × 126.14
  4. Step 4: Simplify right side
    213.46x = 37,153.28
  5. Step 5: Solve for x
    x = 37,153.28/213.46
  6. Step 6: Final answer
    x = 174.05

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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.