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Finding the Fourth Proportional to 342.82, 514.50 and 206.02

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Solution

The fourth proportional to 342.82, 514.50 and 206.02 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 514.50 = 206.02 : x
  2. Step 2: Convert to fraction form
    342.82/514.50 = 206.02/x
  3. Step 3: Cross multiply
    342.82x = 514.50 × 206.02
  4. Step 4: Simplify right side
    342.82x = 105,997.29
  5. Step 5: Solve for x
    x = 105,997.29/342.82
  6. Step 6: Final answer
    x = 309.19

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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.