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Finding the Fourth Proportional to 212.96, 293.86 and 130.04

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Solution

The fourth proportional to 212.96, 293.86 and 130.04 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 293.86 = 130.04 : x
  2. Step 2: Convert to fraction form
    212.96/293.86 = 130.04/x
  3. Step 3: Cross multiply
    212.96x = 293.86 × 130.04
  4. Step 4: Simplify right side
    212.96x = 38,213.35
  5. Step 5: Solve for x
    x = 38,213.35/212.96
  6. Step 6: Final answer
    x = 179.44

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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.