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Finding the Fourth Proportional to 211.02, 316.37 and 106.92

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Solution

The fourth proportional to 211.02, 316.37 and 106.92 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 316.37 = 106.92 : x
  2. Step 2: Convert to fraction form
    211.02/316.37 = 106.92/x
  3. Step 3: Cross multiply
    211.02x = 316.37 × 106.92
  4. Step 4: Simplify right side
    211.02x = 33,826.55
  5. Step 5: Solve for x
    x = 33,826.55/211.02
  6. Step 6: Final answer
    x = 160.30

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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.