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Finding the Fourth Proportional to 214.94, 323.99 and 202.39

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Solution

The fourth proportional to 214.94, 323.99 and 202.39 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 323.99 = 202.39 : x
  2. Step 2: Convert to fraction form
    214.94/323.99 = 202.39/x
  3. Step 3: Cross multiply
    214.94x = 323.99 × 202.39
  4. Step 4: Simplify right side
    214.94x = 65,574.12
  5. Step 5: Solve for x
    x = 65,574.12/214.94
  6. Step 6: Final answer
    x = 305.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.