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Finding the Fourth Proportional to 341.50, 512.31 and 179.14

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Solution

The fourth proportional to 341.50, 512.31 and 179.14 is: 268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.50 : 512.31 = 179.14 : x
  2. Step 2: Convert to fraction form
    341.50/512.31 = 179.14/x
  3. Step 3: Cross multiply
    341.50x = 512.31 × 179.14
  4. Step 4: Simplify right side
    341.50x = 91,775.21
  5. Step 5: Solve for x
    x = 91,775.21/341.50
  6. Step 6: Final answer
    x = 268.74

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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.