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Finding the Fourth Proportional to 212.14, 317.86 and 96.42

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Solution

The fourth proportional to 212.14, 317.86 and 96.42 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 317.86 = 96.42 : x
  2. Step 2: Convert to fraction form
    212.14/317.86 = 96.42/x
  3. Step 3: Cross multiply
    212.14x = 317.86 × 96.42
  4. Step 4: Simplify right side
    212.14x = 30,648.06
  5. Step 5: Solve for x
    x = 30,648.06/212.14
  6. Step 6: Final answer
    x = 144.47

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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.