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Finding the Fourth Proportional to 211.21, 316.77 and 74.30

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Solution

The fourth proportional to 211.21, 316.77 and 74.30 is: 111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 316.77 = 74.30 : x
  2. Step 2: Convert to fraction form
    211.21/316.77 = 74.30/x
  3. Step 3: Cross multiply
    211.21x = 316.77 × 74.30
  4. Step 4: Simplify right side
    211.21x = 23,534.43
  5. Step 5: Solve for x
    x = 23,534.43/211.21
  6. Step 6: Final answer
    x = 111.43

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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.