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Finding the Fourth Proportional to 338.23, 466.75 and 182.98

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Solution

The fourth proportional to 338.23, 466.75 and 182.98 is: 252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 466.75 = 182.98 : x
  2. Step 2: Convert to fraction form
    338.23/466.75 = 182.98/x
  3. Step 3: Cross multiply
    338.23x = 466.75 × 182.98
  4. Step 4: Simplify right side
    338.23x = 85,402.67
  5. Step 5: Solve for x
    x = 85,402.67/338.23
  6. Step 6: Final answer
    x = 252.50

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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.