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Finding the Fourth Proportional to 211.00, 317.07 and 197.16

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Solution

The fourth proportional to 211.00, 317.07 and 197.16 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.00 : 317.07 = 197.16 : x
  2. Step 2: Convert to fraction form
    211.00/317.07 = 197.16/x
  3. Step 3: Cross multiply
    211.00x = 317.07 × 197.16
  4. Step 4: Simplify right side
    211.00x = 62,512.33
  5. Step 5: Solve for x
    x = 62,512.33/211.00
  6. Step 6: Final answer
    x = 296.27

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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.