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Finding the Fourth Proportional to 499.80, 748.86 and 174.98

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Solution

The fourth proportional to 499.80, 748.86 and 174.98 is: 262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 748.86 = 174.98 : x
  2. Step 2: Convert to fraction form
    499.80/748.86 = 174.98/x
  3. Step 3: Cross multiply
    499.80x = 748.86 × 174.98
  4. Step 4: Simplify right side
    499.80x = 131,035.52
  5. Step 5: Solve for x
    x = 131,035.52/499.80
  6. Step 6: Final answer
    x = 262.18

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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.