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Finding the Fourth Proportional to 233.22, 321.80 and 144.71

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Solution

The fourth proportional to 233.22, 321.80 and 144.71 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 321.80 = 144.71 : x
  2. Step 2: Convert to fraction form
    233.22/321.80 = 144.71/x
  3. Step 3: Cross multiply
    233.22x = 321.80 × 144.71
  4. Step 4: Simplify right side
    233.22x = 46,565.35
  5. Step 5: Solve for x
    x = 46,565.35/233.22
  6. Step 6: Final answer
    x = 199.66

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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.