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Finding the Fourth Proportional to 333.45, 500.27 and 159.98

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Solution

The fourth proportional to 333.45, 500.27 and 159.98 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.45 : 500.27 = 159.98 : x
  2. Step 2: Convert to fraction form
    333.45/500.27 = 159.98/x
  3. Step 3: Cross multiply
    333.45x = 500.27 × 159.98
  4. Step 4: Simplify right side
    333.45x = 80,033.19
  5. Step 5: Solve for x
    x = 80,033.19/333.45
  6. Step 6: Final answer
    x = 240.02

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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.