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Finding the Fourth Proportional to 211.66, 317.32 and 103.37

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Solution

The fourth proportional to 211.66, 317.32 and 103.37 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 317.32 = 103.37 : x
  2. Step 2: Convert to fraction form
    211.66/317.32 = 103.37/x
  3. Step 3: Cross multiply
    211.66x = 317.32 × 103.37
  4. Step 4: Simplify right side
    211.66x = 32,799.52
  5. Step 5: Solve for x
    x = 32,799.52/211.66
  6. Step 6: Final answer
    x = 154.97

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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.