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Finding the Fourth Proportional to 213.71, 294.89 and 126.39

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Solution

The fourth proportional to 213.71, 294.89 and 126.39 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 294.89 = 126.39 : x
  2. Step 2: Convert to fraction form
    213.71/294.89 = 126.39/x
  3. Step 3: Cross multiply
    213.71x = 294.89 × 126.39
  4. Step 4: Simplify right side
    213.71x = 37,271.15
  5. Step 5: Solve for x
    x = 37,271.15/213.71
  6. Step 6: Final answer
    x = 174.40

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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.