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Finding the Fourth Proportional to 338.08, 466.62 and 221.64

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Solution

The fourth proportional to 338.08, 466.62 and 221.64 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.08 : 466.62 = 221.64 : x
  2. Step 2: Convert to fraction form
    338.08/466.62 = 221.64/x
  3. Step 3: Cross multiply
    338.08x = 466.62 × 221.64
  4. Step 4: Simplify right side
    338.08x = 103,421.66
  5. Step 5: Solve for x
    x = 103,421.66/338.08
  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.