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Finding the Fourth Proportional to 494.94, 742.57 and 186.81

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Solution

The fourth proportional to 494.94, 742.57 and 186.81 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 742.57 = 186.81 : x
  2. Step 2: Convert to fraction form
    494.94/742.57 = 186.81/x
  3. Step 3: Cross multiply
    494.94x = 742.57 × 186.81
  4. Step 4: Simplify right side
    494.94x = 138,722.52
  5. Step 5: Solve for x
    x = 138,722.52/494.94
  6. Step 6: Final answer
    x = 280.28

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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.