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Finding the Fourth Proportional to 211.75, 317.75 and 97.75

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Solution

The fourth proportional to 211.75, 317.75 and 97.75 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 317.75 = 97.75 : x
  2. Step 2: Convert to fraction form
    211.75/317.75 = 97.75/x
  3. Step 3: Cross multiply
    211.75x = 317.75 × 97.75
  4. Step 4: Simplify right side
    211.75x = 31,060.06
  5. Step 5: Solve for x
    x = 31,060.06/211.75
  6. Step 6: Final answer
    x = 146.68

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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.