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Finding the Fourth Proportional to 342.66, 514.06 and 180.30

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Solution

The fourth proportional to 342.66, 514.06 and 180.30 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 514.06 = 180.30 : x
  2. Step 2: Convert to fraction form
    342.66/514.06 = 180.30/x
  3. Step 3: Cross multiply
    342.66x = 514.06 × 180.30
  4. Step 4: Simplify right side
    342.66x = 92,685.02
  5. Step 5: Solve for x
    x = 92,685.02/342.66
  6. Step 6: Final answer
    x = 270.49

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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.