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Finding the Fourth Proportional to 493.18, 739.86 and 185.08

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Solution

The fourth proportional to 493.18, 739.86 and 185.08 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.18 : 739.86 = 185.08 : x
  2. Step 2: Convert to fraction form
    493.18/739.86 = 185.08/x
  3. Step 3: Cross multiply
    493.18x = 739.86 × 185.08
  4. Step 4: Simplify right side
    493.18x = 136,933.29
  5. Step 5: Solve for x
    x = 136,933.29/493.18
  6. Step 6: Final answer
    x = 277.65

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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.