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Finding the Fourth Proportional to 211.92, 292.41 and 129.04

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Solution

The fourth proportional to 211.92, 292.41 and 129.04 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 292.41 = 129.04 : x
  2. Step 2: Convert to fraction form
    211.92/292.41 = 129.04/x
  3. Step 3: Cross multiply
    211.92x = 292.41 × 129.04
  4. Step 4: Simplify right side
    211.92x = 37,733.50
  5. Step 5: Solve for x
    x = 37,733.50/211.92
  6. Step 6: Final answer
    x = 178.06

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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.