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Finding the Fourth Proportional to 338.16, 466.76 and 220.30

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Solution

The fourth proportional to 338.16, 466.76 and 220.30 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 466.76 = 220.30 : x
  2. Step 2: Convert to fraction form
    338.16/466.76 = 220.30/x
  3. Step 3: Cross multiply
    338.16x = 466.76 × 220.30
  4. Step 4: Simplify right side
    338.16x = 102,827.23
  5. Step 5: Solve for x
    x = 102,827.23/338.16
  6. Step 6: Final answer
    x = 304.08

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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.