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Finding the Fourth Proportional to 341.22, 511.86 and 178.70

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Solution

The fourth proportional to 341.22, 511.86 and 178.70 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.22 : 511.86 = 178.70 : x
  2. Step 2: Convert to fraction form
    341.22/511.86 = 178.70/x
  3. Step 3: Cross multiply
    341.22x = 511.86 × 178.70
  4. Step 4: Simplify right side
    341.22x = 91,469.38
  5. Step 5: Solve for x
    x = 91,469.38/341.22
  6. Step 6: Final answer
    x = 268.07

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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.