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Finding the Fourth Proportional to 229.04, 314.34 and 229.04

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Solution

The fourth proportional to 229.04, 314.34 and 229.04 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.04 : 314.34 = 229.04 : x
  2. Step 2: Convert to fraction form
    229.04/314.34 = 229.04/x
  3. Step 3: Cross multiply
    229.04x = 314.34 × 229.04
  4. Step 4: Simplify right side
    229.04x = 71,996.43
  5. Step 5: Solve for x
    x = 71,996.43/229.04
  6. Step 6: Final answer
    x = 314.34

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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.