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Finding the Fourth Proportional to 212.38, 293.09 and 125.06

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Solution

The fourth proportional to 212.38, 293.09 and 125.06 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.38 : 293.09 = 125.06 : x
  2. Step 2: Convert to fraction form
    212.38/293.09 = 125.06/x
  3. Step 3: Cross multiply
    212.38x = 293.09 × 125.06
  4. Step 4: Simplify right side
    212.38x = 36,653.21
  5. Step 5: Solve for x
    x = 36,653.21/212.38
  6. Step 6: Final answer
    x = 172.59

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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.