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Finding the Fourth Proportional to 210.28, 314.94 and 205.96

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Solution

The fourth proportional to 210.28, 314.94 and 205.96 is: 308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.28 : 314.94 = 205.96 : x
  2. Step 2: Convert to fraction form
    210.28/314.94 = 205.96/x
  3. Step 3: Cross multiply
    210.28x = 314.94 × 205.96
  4. Step 4: Simplify right side
    210.28x = 64,865.04
  5. Step 5: Solve for x
    x = 64,865.04/210.28
  6. Step 6: Final answer
    x = 308.47

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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.