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Finding the Fourth Proportional to 338.30, 466.64 and 213.86

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Solution

The fourth proportional to 338.30, 466.64 and 213.86 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 466.64 = 213.86 : x
  2. Step 2: Convert to fraction form
    338.30/466.64 = 213.86/x
  3. Step 3: Cross multiply
    338.30x = 466.64 × 213.86
  4. Step 4: Simplify right side
    338.30x = 99,795.63
  5. Step 5: Solve for x
    x = 99,795.63/338.30
  6. Step 6: Final answer
    x = 294.99

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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.