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Finding the Fourth Proportional to 233.34, 321.99 and 144.83

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Solution

The fourth proportional to 233.34, 321.99 and 144.83 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 321.99 = 144.83 : x
  2. Step 2: Convert to fraction form
    233.34/321.99 = 144.83/x
  3. Step 3: Cross multiply
    233.34x = 321.99 × 144.83
  4. Step 4: Simplify right side
    233.34x = 46,633.81
  5. Step 5: Solve for x
    x = 46,633.81/233.34
  6. Step 6: Final answer
    x = 199.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.