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Finding the Fourth Proportional to 338.22, 466.56 and 221.76

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Solution

The fourth proportional to 338.22, 466.56 and 221.76 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 466.56 = 221.76 : x
  2. Step 2: Convert to fraction form
    338.22/466.56 = 221.76/x
  3. Step 3: Cross multiply
    338.22x = 466.56 × 221.76
  4. Step 4: Simplify right side
    338.22x = 103,464.35
  5. Step 5: Solve for x
    x = 103,464.35/338.22
  6. Step 6: Final answer
    x = 305.91

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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.