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Finding the Fourth Proportional to 333.99, 500.21 and 160.77

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Solution

The fourth proportional to 333.99, 500.21 and 160.77 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.99 : 500.21 = 160.77 : x
  2. Step 2: Convert to fraction form
    333.99/500.21 = 160.77/x
  3. Step 3: Cross multiply
    333.99x = 500.21 × 160.77
  4. Step 4: Simplify right side
    333.99x = 80,418.76
  5. Step 5: Solve for x
    x = 80,418.76/333.99
  6. Step 6: Final answer
    x = 240.78

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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.