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Finding the Fourth Proportional to 338.47, 506.95 and 221.51

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Solution

The fourth proportional to 338.47, 506.95 and 221.51 is: 331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 506.95 = 221.51 : x
  2. Step 2: Convert to fraction form
    338.47/506.95 = 221.51/x
  3. Step 3: Cross multiply
    338.47x = 506.95 × 221.51
  4. Step 4: Simplify right side
    338.47x = 112,291.41
  5. Step 5: Solve for x
    x = 112,291.41/338.47
  6. Step 6: Final answer
    x = 331.76

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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.