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Finding the Fourth Proportional to 494.02, 741.23 and 185.95

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Solution

The fourth proportional to 494.02, 741.23 and 185.95 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 741.23 = 185.95 : x
  2. Step 2: Convert to fraction form
    494.02/741.23 = 185.95/x
  3. Step 3: Cross multiply
    494.02x = 741.23 × 185.95
  4. Step 4: Simplify right side
    494.02x = 137,833.97
  5. Step 5: Solve for x
    x = 137,833.97/494.02
  6. Step 6: Final answer
    x = 279.00

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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.