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Finding the Fourth Proportional to 343.55, 514.56 and 206.32

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Solution

The fourth proportional to 343.55, 514.56 and 206.32 is: 309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 514.56 = 206.32 : x
  2. Step 2: Convert to fraction form
    343.55/514.56 = 206.32/x
  3. Step 3: Cross multiply
    343.55x = 514.56 × 206.32
  4. Step 4: Simplify right side
    343.55x = 106,161.65
  5. Step 5: Solve for x
    x = 106,161.65/343.55
  6. Step 6: Final answer
    x = 309.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.