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Finding the Fourth Proportional to 342.72, 514.08 and 180.36

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Solution

The fourth proportional to 342.72, 514.08 and 180.36 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 514.08 = 180.36 : x
  2. Step 2: Convert to fraction form
    342.72/514.08 = 180.36/x
  3. Step 3: Cross multiply
    342.72x = 514.08 × 180.36
  4. Step 4: Simplify right side
    342.72x = 92,719.47
  5. Step 5: Solve for x
    x = 92,719.47/342.72
  6. Step 6: Final answer
    x = 270.54

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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.