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Finding the Fourth Proportional to 321.98, 483.89 and 159.77

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Solution

The fourth proportional to 321.98, 483.89 and 159.77 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 483.89 = 159.77 : x
  2. Step 2: Convert to fraction form
    321.98/483.89 = 159.77/x
  3. Step 3: Cross multiply
    321.98x = 483.89 × 159.77
  4. Step 4: Simplify right side
    321.98x = 77,311.52
  5. Step 5: Solve for x
    x = 77,311.52/321.98
  6. Step 6: Final answer
    x = 240.12

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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.