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Finding the Fourth Proportional to 212.28, 292.89 and 129.36

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Solution

The fourth proportional to 212.28, 292.89 and 129.36 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 292.89 = 129.36 : x
  2. Step 2: Convert to fraction form
    212.28/292.89 = 129.36/x
  3. Step 3: Cross multiply
    212.28x = 292.89 × 129.36
  4. Step 4: Simplify right side
    212.28x = 37,888.25
  5. Step 5: Solve for x
    x = 37,888.25/212.28
  6. Step 6: Final answer
    x = 178.48

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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.