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Finding the Fourth Proportional to 342.82, 513.46 and 178.35

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Solution

The fourth proportional to 342.82, 513.46 and 178.35 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 513.46 = 178.35 : x
  2. Step 2: Convert to fraction form
    342.82/513.46 = 178.35/x
  3. Step 3: Cross multiply
    342.82x = 513.46 × 178.35
  4. Step 4: Simplify right side
    342.82x = 91,575.59
  5. Step 5: Solve for x
    x = 91,575.59/342.82
  6. Step 6: Final answer
    x = 267.12

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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.