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Finding the Fourth Proportional to 338.91, 467.69 and 183.66

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Solution

The fourth proportional to 338.91, 467.69 and 183.66 is: 253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 467.69 = 183.66 : x
  2. Step 2: Convert to fraction form
    338.91/467.69 = 183.66/x
  3. Step 3: Cross multiply
    338.91x = 467.69 × 183.66
  4. Step 4: Simplify right side
    338.91x = 85,894.31
  5. Step 5: Solve for x
    x = 85,894.31/338.91
  6. Step 6: Final answer
    x = 253.45

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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.