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Finding the Fourth Proportional to 342.83, 514.31 and 137.31

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Solution

The fourth proportional to 342.83, 514.31 and 137.31 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.83 : 514.31 = 137.31 : x
  2. Step 2: Convert to fraction form
    342.83/514.31 = 137.31/x
  3. Step 3: Cross multiply
    342.83x = 514.31 × 137.31
  4. Step 4: Simplify right side
    342.83x = 70,619.22
  5. Step 5: Solve for x
    x = 70,619.22/342.83
  6. Step 6: Final answer
    x = 205.99

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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.