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Finding the Fourth Proportional to 229.08, 314.02 and 224.94

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Solution

The fourth proportional to 229.08, 314.02 and 224.94 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 314.02 = 224.94 : x
  2. Step 2: Convert to fraction form
    229.08/314.02 = 224.94/x
  3. Step 3: Cross multiply
    229.08x = 314.02 × 224.94
  4. Step 4: Simplify right side
    229.08x = 70,635.66
  5. Step 5: Solve for x
    x = 70,635.66/229.08
  6. Step 6: Final answer
    x = 308.34

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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.