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Finding the Fourth Proportional to 339.97, 469.16 and 184.72

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Solution

The fourth proportional to 339.97, 469.16 and 184.72 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 469.16 = 184.72 : x
  2. Step 2: Convert to fraction form
    339.97/469.16 = 184.72/x
  3. Step 3: Cross multiply
    339.97x = 469.16 × 184.72
  4. Step 4: Simplify right side
    339.97x = 86,662.31
  5. Step 5: Solve for x
    x = 86,662.31/339.97
  6. Step 6: Final answer
    x = 254.91

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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.