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Finding the Fourth Proportional to 341.29, 511.39 and 178.75

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Solution

The fourth proportional to 341.29, 511.39 and 178.75 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.29 : 511.39 = 178.75 : x
  2. Step 2: Convert to fraction form
    341.29/511.39 = 178.75/x
  3. Step 3: Cross multiply
    341.29x = 511.39 × 178.75
  4. Step 4: Simplify right side
    341.29x = 91,410.96
  5. Step 5: Solve for x
    x = 91,410.96/341.29
  6. Step 6: Final answer
    x = 267.84

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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.