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Finding the Fourth Proportional to 211.63, 317.57 and 74.78

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Solution

The fourth proportional to 211.63, 317.57 and 74.78 is: 112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.63 : 317.57 = 74.78 : x
  2. Step 2: Convert to fraction form
    211.63/317.57 = 74.78/x
  3. Step 3: Cross multiply
    211.63x = 317.57 × 74.78
  4. Step 4: Simplify right side
    211.63x = 23,747.88
  5. Step 5: Solve for x
    x = 23,747.88/211.63
  6. Step 6: Final answer
    x = 112.21

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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.