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Finding the Fourth Proportional to 342.73, 514.29 and 126.46

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Solution

The fourth proportional to 342.73, 514.29 and 126.46 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.73 : 514.29 = 126.46 : x
  2. Step 2: Convert to fraction form
    342.73/514.29 = 126.46/x
  3. Step 3: Cross multiply
    342.73x = 514.29 × 126.46
  4. Step 4: Simplify right side
    342.73x = 65,037.11
  5. Step 5: Solve for x
    x = 65,037.11/342.73
  6. Step 6: Final answer
    x = 189.76

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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.