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Finding the Fourth Proportional to 212.32, 293.04 and 129.50

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Solution

The fourth proportional to 212.32, 293.04 and 129.50 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 293.04 = 129.50 : x
  2. Step 2: Convert to fraction form
    212.32/293.04 = 129.50/x
  3. Step 3: Cross multiply
    212.32x = 293.04 × 129.50
  4. Step 4: Simplify right side
    212.32x = 37,946.57
  5. Step 5: Solve for x
    x = 37,946.57/212.32
  6. Step 6: Final answer
    x = 178.73

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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.