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Finding the Fourth Proportional to 211.00, 316.21 and 119.78

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Solution

The fourth proportional to 211.00, 316.21 and 119.78 is: 179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.00 : 316.21 = 119.78 : x
  2. Step 2: Convert to fraction form
    211.00/316.21 = 119.78/x
  3. Step 3: Cross multiply
    211.00x = 316.21 × 119.78
  4. Step 4: Simplify right side
    211.00x = 37,875.03
  5. Step 5: Solve for x
    x = 37,875.03/211.00
  6. Step 6: Final answer
    x = 179.51

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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.