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Finding the Fourth Proportional to 233.13, 321.60 and 144.59

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Solution

The fourth proportional to 233.13, 321.60 and 144.59 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 321.60 = 144.59 : x
  2. Step 2: Convert to fraction form
    233.13/321.60 = 144.59/x
  3. Step 3: Cross multiply
    233.13x = 321.60 × 144.59
  4. Step 4: Simplify right side
    233.13x = 46,497.86
  5. Step 5: Solve for x
    x = 46,497.86/233.13
  6. Step 6: Final answer
    x = 199.45

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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.