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Finding the Fourth Proportional to 495.99, 743.77 and 149.19

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Solution

The fourth proportional to 495.99, 743.77 and 149.19 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 743.77 = 149.19 : x
  2. Step 2: Convert to fraction form
    495.99/743.77 = 149.19/x
  3. Step 3: Cross multiply
    495.99x = 743.77 × 149.19
  4. Step 4: Simplify right side
    495.99x = 110,963.05
  5. Step 5: Solve for x
    x = 110,963.05/495.99
  6. Step 6: Final answer
    x = 223.72

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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.