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Finding the Fourth Proportional to 493.22, 739.95 and 185.07

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Solution

The fourth proportional to 493.22, 739.95 and 185.07 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 739.95 = 185.07 : x
  2. Step 2: Convert to fraction form
    493.22/739.95 = 185.07/x
  3. Step 3: Cross multiply
    493.22x = 739.95 × 185.07
  4. Step 4: Simplify right side
    493.22x = 136,946.19
  5. Step 5: Solve for x
    x = 136,946.19/493.22
  6. Step 6: Final answer
    x = 277.66

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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.