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Finding the Fourth Proportional to 342.68, 513.68 and 159.92

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Solution

The fourth proportional to 342.68, 513.68 and 159.92 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.68 : 513.68 = 159.92 : x
  2. Step 2: Convert to fraction form
    342.68/513.68 = 159.92/x
  3. Step 3: Cross multiply
    342.68x = 513.68 × 159.92
  4. Step 4: Simplify right side
    342.68x = 82,147.71
  5. Step 5: Solve for x
    x = 82,147.71/342.68
  6. Step 6: Final answer
    x = 239.72

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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.