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Finding the Fourth Proportional to 303.24, 418.12 and 229.32

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Solution

The fourth proportional to 303.24, 418.12 and 229.32 is: 316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 418.12 = 229.32 : x
  2. Step 2: Convert to fraction form
    303.24/418.12 = 229.32/x
  3. Step 3: Cross multiply
    303.24x = 418.12 × 229.32
  4. Step 4: Simplify right side
    303.24x = 95,883.28
  5. Step 5: Solve for x
    x = 95,883.28/303.24
  6. Step 6: Final answer
    x = 316.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.