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Finding the Fourth Proportional to 211.70, 317.27 and 138.53

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Solution

The fourth proportional to 211.70, 317.27 and 138.53 is: 207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 317.27 = 138.53 : x
  2. Step 2: Convert to fraction form
    211.70/317.27 = 138.53/x
  3. Step 3: Cross multiply
    211.70x = 317.27 × 138.53
  4. Step 4: Simplify right side
    211.70x = 43,949.13
  5. Step 5: Solve for x
    x = 43,949.13/211.70
  6. Step 6: Final answer
    x = 207.61

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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.