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Finding the Fourth Proportional to 225.66, 338.04 and 212.34

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Solution

The fourth proportional to 225.66, 338.04 and 212.34 is: 318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.66 : 338.04 = 212.34 : x
  2. Step 2: Convert to fraction form
    225.66/338.04 = 212.34/x
  3. Step 3: Cross multiply
    225.66x = 338.04 × 212.34
  4. Step 4: Simplify right side
    225.66x = 71,779.41
  5. Step 5: Solve for x
    x = 71,779.41/225.66
  6. Step 6: Final answer
    x = 318.09

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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.