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Finding the Fourth Proportional to 211.37, 317.04 and 74.41

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Solution

The fourth proportional to 211.37, 317.04 and 74.41 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 317.04 = 74.41 : x
  2. Step 2: Convert to fraction form
    211.37/317.04 = 74.41/x
  3. Step 3: Cross multiply
    211.37x = 317.04 × 74.41
  4. Step 4: Simplify right side
    211.37x = 23,591.53
  5. Step 5: Solve for x
    x = 23,591.53/211.37
  6. Step 6: Final answer
    x = 111.61

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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.