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Finding the Fourth Proportional to 249.98, 345.05 and 162.63

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Solution

The fourth proportional to 249.98, 345.05 and 162.63 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.98 : 345.05 = 162.63 : x
  2. Step 2: Convert to fraction form
    249.98/345.05 = 162.63/x
  3. Step 3: Cross multiply
    249.98x = 345.05 × 162.63
  4. Step 4: Simplify right side
    249.98x = 56,115.48
  5. Step 5: Solve for x
    x = 56,115.48/249.98
  6. Step 6: Final answer
    x = 224.48

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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.