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Finding the Fourth Proportional to 342.54, 513.78 and 137.06

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Solution

The fourth proportional to 342.54, 513.78 and 137.06 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 513.78 = 137.06 : x
  2. Step 2: Convert to fraction form
    342.54/513.78 = 137.06/x
  3. Step 3: Cross multiply
    342.54x = 513.78 × 137.06
  4. Step 4: Simplify right side
    342.54x = 70,418.69
  5. Step 5: Solve for x
    x = 70,418.69/342.54
  6. Step 6: Final answer
    x = 205.58

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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.