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Finding the Fourth Proportional to 342.76, 514.32 and 206.26

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Solution

The fourth proportional to 342.76, 514.32 and 206.26 is: 309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.32 = 206.26 : x
  2. Step 2: Convert to fraction form
    342.76/514.32 = 206.26/x
  3. Step 3: Cross multiply
    342.76x = 514.32 × 206.26
  4. Step 4: Simplify right side
    342.76x = 106,083.64
  5. Step 5: Solve for x
    x = 106,083.64/342.76
  6. Step 6: Final answer
    x = 309.50

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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.