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Finding the Fourth Proportional to 212.53, 293.29 and 129.64

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Solution

The fourth proportional to 212.53, 293.29 and 129.64 is: 178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.53 : 293.29 = 129.64 : x
  2. Step 2: Convert to fraction form
    212.53/293.29 = 129.64/x
  3. Step 3: Cross multiply
    212.53x = 293.29 × 129.64
  4. Step 4: Simplify right side
    212.53x = 38,020.65
  5. Step 5: Solve for x
    x = 38,020.65/212.53
  6. Step 6: Final answer
    x = 178.90

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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.