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Finding the Fourth Proportional to 211.46, 317.24 and 108.70

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Solution

The fourth proportional to 211.46, 317.24 and 108.70 is: 163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 317.24 = 108.70 : x
  2. Step 2: Convert to fraction form
    211.46/317.24 = 108.70/x
  3. Step 3: Cross multiply
    211.46x = 317.24 × 108.70
  4. Step 4: Simplify right side
    211.46x = 34,483.99
  5. Step 5: Solve for x
    x = 34,483.99/211.46
  6. Step 6: Final answer
    x = 163.08

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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.