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Finding the Fourth Proportional to 212.35, 293.06 and 125.04

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Solution

The fourth proportional to 212.35, 293.06 and 125.04 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.35 : 293.06 = 125.04 : x
  2. Step 2: Convert to fraction form
    212.35/293.06 = 125.04/x
  3. Step 3: Cross multiply
    212.35x = 293.06 × 125.04
  4. Step 4: Simplify right side
    212.35x = 36,644.22
  5. Step 5: Solve for x
    x = 36,644.22/212.35
  6. Step 6: Final answer
    x = 172.57

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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.