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Finding the Fourth Proportional to 314.79, 434.67 and 204.22

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Solution

The fourth proportional to 314.79, 434.67 and 204.22 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.79 : 434.67 = 204.22 : x
  2. Step 2: Convert to fraction form
    314.79/434.67 = 204.22/x
  3. Step 3: Cross multiply
    314.79x = 434.67 × 204.22
  4. Step 4: Simplify right side
    314.79x = 88,768.08
  5. Step 5: Solve for x
    x = 88,768.08/314.79
  6. Step 6: Final answer
    x = 281.99

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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.