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Finding the Fourth Proportional to 493.48, 739.86 and 185.14

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Solution

The fourth proportional to 493.48, 739.86 and 185.14 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 739.86 = 185.14 : x
  2. Step 2: Convert to fraction form
    493.48/739.86 = 185.14/x
  3. Step 3: Cross multiply
    493.48x = 739.86 × 185.14
  4. Step 4: Simplify right side
    493.48x = 136,977.68
  5. Step 5: Solve for x
    x = 136,977.68/493.48
  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.