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Finding the Fourth Proportional to 211.29, 317 and 193.20

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Solution

The fourth proportional to 211.29, 317 and 193.20 is: 289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 317 = 193.20 : x
  2. Step 2: Convert to fraction form
    211.29/317 = 193.20/x
  3. Step 3: Cross multiply
    211.29x = 317 × 193.20
  4. Step 4: Simplify right side
    211.29x = 61,244.40
  5. Step 5: Solve for x
    x = 61,244.40/211.29
  6. Step 6: Final answer
    x = 289.86

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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.