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Finding the Fourth Proportional to 230.16, 343.32 and 229.44

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Solution

The fourth proportional to 230.16, 343.32 and 229.44 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.16 : 343.32 = 229.44 : x
  2. Step 2: Convert to fraction form
    230.16/343.32 = 229.44/x
  3. Step 3: Cross multiply
    230.16x = 343.32 × 229.44
  4. Step 4: Simplify right side
    230.16x = 78,771.34
  5. Step 5: Solve for x
    x = 78,771.34/230.16
  6. Step 6: Final answer
    x = 342.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.