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Finding the Fourth Proportional to 230.68, 343.64 and 224.32

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Solution

The fourth proportional to 230.68, 343.64 and 224.32 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 343.64 = 224.32 : x
  2. Step 2: Convert to fraction form
    230.68/343.64 = 224.32/x
  3. Step 3: Cross multiply
    230.68x = 343.64 × 224.32
  4. Step 4: Simplify right side
    230.68x = 77,085.32
  5. Step 5: Solve for x
    x = 77,085.32/230.68
  6. Step 6: Final answer
    x = 334.17

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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.