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Finding the Fourth Proportional to 211.96, 317.64 and 120.70

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Solution

The fourth proportional to 211.96, 317.64 and 120.70 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.96 : 317.64 = 120.70 : x
  2. Step 2: Convert to fraction form
    211.96/317.64 = 120.70/x
  3. Step 3: Cross multiply
    211.96x = 317.64 × 120.70
  4. Step 4: Simplify right side
    211.96x = 38,339.15
  5. Step 5: Solve for x
    x = 38,339.15/211.96
  6. Step 6: Final answer
    x = 180.88

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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.