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Finding the Fourth Proportional to 342.89, 514.23 and 180.48

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Solution

The fourth proportional to 342.89, 514.23 and 180.48 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 514.23 = 180.48 : x
  2. Step 2: Convert to fraction form
    342.89/514.23 = 180.48/x
  3. Step 3: Cross multiply
    342.89x = 514.23 × 180.48
  4. Step 4: Simplify right side
    342.89x = 92,808.23
  5. Step 5: Solve for x
    x = 92,808.23/342.89
  6. Step 6: Final answer
    x = 270.66

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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.