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Finding the Fourth Proportional to 212.01, 317.80 and 109.14

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Solution

The fourth proportional to 212.01, 317.80 and 109.14 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.01 : 317.80 = 109.14 : x
  2. Step 2: Convert to fraction form
    212.01/317.80 = 109.14/x
  3. Step 3: Cross multiply
    212.01x = 317.80 × 109.14
  4. Step 4: Simplify right side
    212.01x = 34,684.69
  5. Step 5: Solve for x
    x = 34,684.69/212.01
  6. Step 6: Final answer
    x = 163.60

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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.