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Finding the Fourth Proportional to 341.94, 512.46 and 179.28

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Solution

The fourth proportional to 341.94, 512.46 and 179.28 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 512.46 = 179.28 : x
  2. Step 2: Convert to fraction form
    341.94/512.46 = 179.28/x
  3. Step 3: Cross multiply
    341.94x = 512.46 × 179.28
  4. Step 4: Simplify right side
    341.94x = 91,873.83
  5. Step 5: Solve for x
    x = 91,873.83/341.94
  6. Step 6: Final answer
    x = 268.68

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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.