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Finding the Fourth Proportional to 213.56, 294.62 and 125.04

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Solution

The fourth proportional to 213.56, 294.62 and 125.04 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 294.62 = 125.04 : x
  2. Step 2: Convert to fraction form
    213.56/294.62 = 125.04/x
  3. Step 3: Cross multiply
    213.56x = 294.62 × 125.04
  4. Step 4: Simplify right side
    213.56x = 36,839.28
  5. Step 5: Solve for x
    x = 36,839.28/213.56
  6. Step 6: Final answer
    x = 172.50

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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.