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Finding the Fourth Proportional to 342.67, 514.30 and 178.25

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Solution

The fourth proportional to 342.67, 514.30 and 178.25 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.67 : 514.30 = 178.25 : x
  2. Step 2: Convert to fraction form
    342.67/514.30 = 178.25/x
  3. Step 3: Cross multiply
    342.67x = 514.30 × 178.25
  4. Step 4: Simplify right side
    342.67x = 91,673.98
  5. Step 5: Solve for x
    x = 91,673.98/342.67
  6. Step 6: Final answer
    x = 267.53

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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.