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Finding the Fourth Proportional to 342.98, 514.53 and 180.62

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Solution

The fourth proportional to 342.98, 514.53 and 180.62 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 514.53 = 180.62 : x
  2. Step 2: Convert to fraction form
    342.98/514.53 = 180.62/x
  3. Step 3: Cross multiply
    342.98x = 514.53 × 180.62
  4. Step 4: Simplify right side
    342.98x = 92,934.41
  5. Step 5: Solve for x
    x = 92,934.41/342.98
  6. Step 6: Final answer
    x = 270.96

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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.