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Finding the Fourth Proportional to 211.14, 316.77 and 74.23

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Solution

The fourth proportional to 211.14, 316.77 and 74.23 is: 111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.14 : 316.77 = 74.23 : x
  2. Step 2: Convert to fraction form
    211.14/316.77 = 74.23/x
  3. Step 3: Cross multiply
    211.14x = 316.77 × 74.23
  4. Step 4: Simplify right side
    211.14x = 23,513.84
  5. Step 5: Solve for x
    x = 23,513.84/211.14
  6. Step 6: Final answer
    x = 111.37

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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.