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Finding the Fourth Proportional to 212.21, 292.94 and 129.35

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Solution

The fourth proportional to 212.21, 292.94 and 129.35 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.21 : 292.94 = 129.35 : x
  2. Step 2: Convert to fraction form
    212.21/292.94 = 129.35/x
  3. Step 3: Cross multiply
    212.21x = 292.94 × 129.35
  4. Step 4: Simplify right side
    212.21x = 37,890.95
  5. Step 5: Solve for x
    x = 37,890.95/212.21
  6. Step 6: Final answer
    x = 178.55

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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.