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Finding the Fourth Proportional to 311.33, 429.82 and 187.04

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Solution

The fourth proportional to 311.33, 429.82 and 187.04 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.33 : 429.82 = 187.04 : x
  2. Step 2: Convert to fraction form
    311.33/429.82 = 187.04/x
  3. Step 3: Cross multiply
    311.33x = 429.82 × 187.04
  4. Step 4: Simplify right side
    311.33x = 80,394.14
  5. Step 5: Solve for x
    x = 80,394.14/311.33
  6. Step 6: Final answer
    x = 258.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.