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Finding the Fourth Proportional to 342.40, 513.85 and 137.03

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Solution

The fourth proportional to 342.40, 513.85 and 137.03 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.40 : 513.85 = 137.03 : x
  2. Step 2: Convert to fraction form
    342.40/513.85 = 137.03/x
  3. Step 3: Cross multiply
    342.40x = 513.85 × 137.03
  4. Step 4: Simplify right side
    342.40x = 70,409.83
  5. Step 5: Solve for x
    x = 70,409.83/342.40
  6. Step 6: Final answer
    x = 205.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.