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Finding the Fourth Proportional to 211.49, 317.26 and 57.42

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Solution

The fourth proportional to 211.49, 317.26 and 57.42 is: 86.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.49 : 317.26 = 57.42 : x
  2. Step 2: Convert to fraction form
    211.49/317.26 = 57.42/x
  3. Step 3: Cross multiply
    211.49x = 317.26 × 57.42
  4. Step 4: Simplify right side
    211.49x = 18,217.14
  5. Step 5: Solve for x
    x = 18,217.14/211.49
  6. Step 6: Final answer
    x = 86.14

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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.