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Finding the Fourth Proportional to 244.75, 337.42 and 165.95

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Solution

The fourth proportional to 244.75, 337.42 and 165.95 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.75 : 337.42 = 165.95 : x
  2. Step 2: Convert to fraction form
    244.75/337.42 = 165.95/x
  3. Step 3: Cross multiply
    244.75x = 337.42 × 165.95
  4. Step 4: Simplify right side
    244.75x = 55,994.75
  5. Step 5: Solve for x
    x = 55,994.75/244.75
  6. Step 6: Final answer
    x = 228.78

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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.