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Finding the Fourth Proportional to 342.94, 514.23 and 137.35

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Solution

The fourth proportional to 342.94, 514.23 and 137.35 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 514.23 = 137.35 : x
  2. Step 2: Convert to fraction form
    342.94/514.23 = 137.35/x
  3. Step 3: Cross multiply
    342.94x = 514.23 × 137.35
  4. Step 4: Simplify right side
    342.94x = 70,629.49
  5. Step 5: Solve for x
    x = 70,629.49/342.94
  6. Step 6: Final answer
    x = 205.95

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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.