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Finding the Fourth Proportional to 341.07, 511.38 and 178.44

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Solution

The fourth proportional to 341.07, 511.38 and 178.44 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 511.38 = 178.44 : x
  2. Step 2: Convert to fraction form
    341.07/511.38 = 178.44/x
  3. Step 3: Cross multiply
    341.07x = 511.38 × 178.44
  4. Step 4: Simplify right side
    341.07x = 91,250.65
  5. Step 5: Solve for x
    x = 91,250.65/341.07
  6. Step 6: Final answer
    x = 267.54

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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.