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Finding the Fourth Proportional to 212.34, 318.16 and 129.98

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Solution

The fourth proportional to 212.34, 318.16 and 129.98 is: 194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 318.16 = 129.98 : x
  2. Step 2: Convert to fraction form
    212.34/318.16 = 129.98/x
  3. Step 3: Cross multiply
    212.34x = 318.16 × 129.98
  4. Step 4: Simplify right side
    212.34x = 41,354.44
  5. Step 5: Solve for x
    x = 41,354.44/212.34
  6. Step 6: Final answer
    x = 194.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.