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Finding the Fourth Proportional to 211.57, 316.87 and 108.66

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Solution

The fourth proportional to 211.57, 316.87 and 108.66 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.57 : 316.87 = 108.66 : x
  2. Step 2: Convert to fraction form
    211.57/316.87 = 108.66/x
  3. Step 3: Cross multiply
    211.57x = 316.87 × 108.66
  4. Step 4: Simplify right side
    211.57x = 34,430.82
  5. Step 5: Solve for x
    x = 34,430.82/211.57
  6. Step 6: Final answer
    x = 162.74

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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.