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Finding the Fourth Proportional to 213.66, 294.46 and 172.34

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Solution

The fourth proportional to 213.66, 294.46 and 172.34 is: 237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 294.46 = 172.34 : x
  2. Step 2: Convert to fraction form
    213.66/294.46 = 172.34/x
  3. Step 3: Cross multiply
    213.66x = 294.46 × 172.34
  4. Step 4: Simplify right side
    213.66x = 50,747.24
  5. Step 5: Solve for x
    x = 50,747.24/213.66
  6. Step 6: Final answer
    x = 237.51

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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.