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Finding the Fourth Proportional to 233.01, 321.50 and 144.53

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Solution

The fourth proportional to 233.01, 321.50 and 144.53 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 321.50 = 144.53 : x
  2. Step 2: Convert to fraction form
    233.01/321.50 = 144.53/x
  3. Step 3: Cross multiply
    233.01x = 321.50 × 144.53
  4. Step 4: Simplify right side
    233.01x = 46,466.35
  5. Step 5: Solve for x
    x = 46,466.35/233.01
  6. Step 6: Final answer
    x = 199.42

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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.