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Finding the Fourth Proportional to 212.23, 292.95 and 129.34

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Solution

The fourth proportional to 212.23, 292.95 and 129.34 is: 178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.23 : 292.95 = 129.34 : x
  2. Step 2: Convert to fraction form
    212.23/292.95 = 129.34/x
  3. Step 3: Cross multiply
    212.23x = 292.95 × 129.34
  4. Step 4: Simplify right side
    212.23x = 37,890.52
  5. Step 5: Solve for x
    x = 37,890.52/212.23
  6. Step 6: Final answer
    x = 178.53

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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.