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Finding the Fourth Proportional to 230.64, 343.10 and 228.32

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Solution

The fourth proportional to 230.64, 343.10 and 228.32 is: 339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 343.10 = 228.32 : x
  2. Step 2: Convert to fraction form
    230.64/343.10 = 228.32/x
  3. Step 3: Cross multiply
    230.64x = 343.10 × 228.32
  4. Step 4: Simplify right side
    230.64x = 78,336.59
  5. Step 5: Solve for x
    x = 78,336.59/230.64
  6. Step 6: Final answer
    x = 339.65

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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.