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Finding the Fourth Proportional to 342.86, 514.47 and 180.56

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Solution

The fourth proportional to 342.86, 514.47 and 180.56 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 514.47 = 180.56 : x
  2. Step 2: Convert to fraction form
    342.86/514.47 = 180.56/x
  3. Step 3: Cross multiply
    342.86x = 514.47 × 180.56
  4. Step 4: Simplify right side
    342.86x = 92,892.70
  5. Step 5: Solve for x
    x = 92,892.70/342.86
  6. Step 6: Final answer
    x = 270.93

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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.