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Finding the Fourth Proportional to 249.64, 344.52 and 162.24

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Solution

The fourth proportional to 249.64, 344.52 and 162.24 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 344.52 = 162.24 : x
  2. Step 2: Convert to fraction form
    249.64/344.52 = 162.24/x
  3. Step 3: Cross multiply
    249.64x = 344.52 × 162.24
  4. Step 4: Simplify right side
    249.64x = 55,894.92
  5. Step 5: Solve for x
    x = 55,894.92/249.64
  6. Step 6: Final answer
    x = 223.90

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