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Finding the Fourth Proportional to 314.48, 433.91 and 203.96

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Solution

The fourth proportional to 314.48, 433.91 and 203.96 is: 281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 433.91 = 203.96 : x
  2. Step 2: Convert to fraction form
    314.48/433.91 = 203.96/x
  3. Step 3: Cross multiply
    314.48x = 433.91 × 203.96
  4. Step 4: Simplify right side
    314.48x = 88,497.09
  5. Step 5: Solve for x
    x = 88,497.09/314.48
  6. Step 6: Final answer
    x = 281.41

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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.