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Finding the Fourth Proportional to 493.54, 739.83 and 185.17

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Solution

The fourth proportional to 493.54, 739.83 and 185.17 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 739.83 = 185.17 : x
  2. Step 2: Convert to fraction form
    493.54/739.83 = 185.17/x
  3. Step 3: Cross multiply
    493.54x = 739.83 × 185.17
  4. Step 4: Simplify right side
    493.54x = 136,994.32
  5. Step 5: Solve for x
    x = 136,994.32/493.54
  6. Step 6: Final answer
    x = 277.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.