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Finding the Fourth Proportional to 342.51, 513.84 and 137

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Solution

The fourth proportional to 342.51, 513.84 and 137 is: 205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 513.84 = 137 : x
  2. Step 2: Convert to fraction form
    342.51/513.84 = 137/x
  3. Step 3: Cross multiply
    342.51x = 513.84 × 137
  4. Step 4: Simplify right side
    342.51x = 70,396.08
  5. Step 5: Solve for x
    x = 70,396.08/342.51
  6. Step 6: Final answer
    x = 205.53

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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.