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Finding the Fourth Proportional to 214.30, 295.68 and 204.85

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Solution

The fourth proportional to 214.30, 295.68 and 204.85 is: 282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.68 = 204.85 : x
  2. Step 2: Convert to fraction form
    214.30/295.68 = 204.85/x
  3. Step 3: Cross multiply
    214.30x = 295.68 × 204.85
  4. Step 4: Simplify right side
    214.30x = 60,570.05
  5. Step 5: Solve for x
    x = 60,570.05/214.30
  6. Step 6: Final answer
    x = 282.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.