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Finding the Fourth Proportional to 314.49, 433.88 and 204.03

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Solution

The fourth proportional to 314.49, 433.88 and 204.03 is: 281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 433.88 = 204.03 : x
  2. Step 2: Convert to fraction form
    314.49/433.88 = 204.03/x
  3. Step 3: Cross multiply
    314.49x = 433.88 × 204.03
  4. Step 4: Simplify right side
    314.49x = 88,524.54
  5. Step 5: Solve for x
    x = 88,524.54/314.49
  6. Step 6: Final answer
    x = 281.49

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Why These Related Problems?

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