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Finding the Fourth Proportional to 342.98, 514.60 and 206.13

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Solution

The fourth proportional to 342.98, 514.60 and 206.13 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 514.60 = 206.13 : x
  2. Step 2: Convert to fraction form
    342.98/514.60 = 206.13/x
  3. Step 3: Cross multiply
    342.98x = 514.60 × 206.13
  4. Step 4: Simplify right side
    342.98x = 106,074.18
  5. Step 5: Solve for x
    x = 106,074.18/342.98
  6. Step 6: Final answer
    x = 309.27

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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.