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Finding the Fourth Proportional to 229.28, 314.70 and 204.16

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Solution

The fourth proportional to 229.28, 314.70 and 204.16 is: 280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.28 : 314.70 = 204.16 : x
  2. Step 2: Convert to fraction form
    229.28/314.70 = 204.16/x
  3. Step 3: Cross multiply
    229.28x = 314.70 × 204.16
  4. Step 4: Simplify right side
    229.28x = 64,249.15
  5. Step 5: Solve for x
    x = 64,249.15/229.28
  6. Step 6: Final answer
    x = 280.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.