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Finding the Fourth Proportional to 211.69, 317.41 and 74.69

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Solution

The fourth proportional to 211.69, 317.41 and 74.69 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 317.41 = 74.69 : x
  2. Step 2: Convert to fraction form
    211.69/317.41 = 74.69/x
  3. Step 3: Cross multiply
    211.69x = 317.41 × 74.69
  4. Step 4: Simplify right side
    211.69x = 23,707.35
  5. Step 5: Solve for x
    x = 23,707.35/211.69
  6. Step 6: Final answer
    x = 111.99

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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.