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Finding the Fourth Proportional to 342.91, 514.57 and 160.31

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Solution

The fourth proportional to 342.91, 514.57 and 160.31 is: 240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.91 : 514.57 = 160.31 : x
  2. Step 2: Convert to fraction form
    342.91/514.57 = 160.31/x
  3. Step 3: Cross multiply
    342.91x = 514.57 × 160.31
  4. Step 4: Simplify right side
    342.91x = 82,491.90
  5. Step 5: Solve for x
    x = 82,491.90/342.91
  6. Step 6: Final answer
    x = 240.57

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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.