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Finding the Fourth Proportional to 311.16, 466.77 and 189.36

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Solution

The fourth proportional to 311.16, 466.77 and 189.36 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 466.77 = 189.36 : x
  2. Step 2: Convert to fraction form
    311.16/466.77 = 189.36/x
  3. Step 3: Cross multiply
    311.16x = 466.77 × 189.36
  4. Step 4: Simplify right side
    311.16x = 88,387.57
  5. Step 5: Solve for x
    x = 88,387.57/311.16
  6. Step 6: Final answer
    x = 284.06

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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.