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Finding the Fourth Proportional to 311.52, 466.24 and 208.36

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Solution

The fourth proportional to 311.52, 466.24 and 208.36 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 466.24 = 208.36 : x
  2. Step 2: Convert to fraction form
    311.52/466.24 = 208.36/x
  3. Step 3: Cross multiply
    311.52x = 466.24 × 208.36
  4. Step 4: Simplify right side
    311.52x = 97,145.77
  5. Step 5: Solve for x
    x = 97,145.77/311.52
  6. Step 6: Final answer
    x = 311.84

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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.